List of publications (Yasuyuki Kawahigashi)

List of publications

[1] Y. Kawahigashi, Centrally ergodic one-parameter automorphism groups on semifinite injective von Neumann algebras,
Math. Scand. 64 (1989), 285-299. PDF file MathScand website MathSciNet

[2] Y. Kawahigashi, One-parameter automorphism groups of the hyperfinite type II₁ factor,
J. Operator Theory 25 (1991), 37-59. PDF file JOT website MathSciNet

[3] Y. Kawahigashi, One-parameter automorphism groups of the injective II₁ factor arising from the irrational rotation C^*-algebra,
Amer. J. Math. 112 (1990), 499-524. PDF file JSTOR MathSciNet

[4] Y. Kawahigashi, One-parameter automorphism groups of the injective II₁ factor with Connes spectrum zero,
Canad. J. Math. 43 (1991), 108-118. PDF file CJM site MathSciNet

[5] Y. Kawahigashi, C. E. Sutherland, M. Takesaki, The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions,
Acta Math. 169 (1992), 105-130. PDF file Project Euclid MathSciNet

[6] Y. Kawahigashi, M. Takesaki, Compact abelian group actions on injective factors,
J. Funct. Anal. 105 (1992), 112-128. PDF file ScienceDirect MathSciNet

[7] Y. Kawahigashi, Cohomology of actions of discrete groups on factors of type II₁,
Pacific J. Math. 149 (1991), 303-317. PDF file Project Euclid MathSciNet

[8] Y. Kawahigashi, Automorphisms commuting with a conditional expectation onto a subfactor with finite index,
J. Operator Theory 28 (1992), 127-145. PDF file JOT website MathSciNet

[9] Y. Kawahigashi, Group actions on injective factors,
"Current Topics in Operator Algebras", World Scientific Publishing, (1991), 2-12. PDF file MathSciNet

[10] Y. Kawahigashi, On flatness of Ocneanu's connections on the Dynkin diagrams and classification of subfactors,
J. Funct. Anal. 127 (1995), 63-107. PDF file ScienceDirect MathSciNet

[11] M. Izumi, Y. Kawahigashi, Classification of subfactors with the principal graph D_n⁽¹⁾,
J. Funct. Anal. 112 (1993), 257-286. PDF file ScienceDirect MathSciNet

[12] Y. Kawahigashi, Exactly solvable orbifold models and subfactors,
"Functional Analysis and Related Topics", Lect. Notes in Math. 1540, Springer Verlag, (1992), 127-147. PDF file Springer LINK MathSciNet

[13] D. E. Evans, Y. Kawahigashi, Orbifold subfactors from Hecke algebras,
Commun. Math. Phys. 165 (1994), 445-484. PDF file Project Euclid MathSciNet

[14] Y. Kawahigashi, Centrally trivial automorphisms and an analogue of Connes's χ(M) for subfactors,
Duke Math. J. 71 (1993), 93-118. PDF file Porject Euclid MathSciNet

[15] D. E. Evans, Y. Kawahigashi, From subfactors to 3-dimensional topological quantum field theories and back --- a detailed account of Ocneanu's theory ---,
Internat. J. Math. 6 (1995), 537-558. PDF file IJM website MathSciNet

[16] D. E. Evans, Y. Kawahigashi, Subfactors and conformal field theory,
"Quantum and non-commutative analysis", Kluwer Academic (1993), 341-369. PDF file MathSciNet

[17] D. E. Evans, Y. Kawahigashi, The E₇ commuting squares produce D₁₀ as principal graph,
Publ. RIMS Kyoto Univ. 30 (1994), 151-166. PDF file EMS MathSciNet

[18] Y. Kawahigashi, Classification of paragroup actions on subfactors,
Publ. RIMS Kyoto Univ. 31 (1995), 481-517. PDF file EMS MathSciNet

[19] Y. Kawahigashi, Paragroups and their actions on subfactors,
"Subfactors", World Scientific (1994), 64-84. PDF file MathSciNet

[20] Y. Kawahigashi, Paragroups as quantized Galois groups of subfactors,
Sugaku Exp. 9 (1996), 21-35. (Translation of the original Japanese article in Sugaku 45 (1993), 346-358.) PDF file MathSciNet

[21] D. E. Evans, Y. Kawahigashi, On Ocneanu's theory of asymptotic inclusions for subfactors, topological quantum field theories and quantum doubles,
Internat. J. Math. 6 (1995), 205-228. PDF file IJM website MathSciNet

[22] Y. Kawahigashi, Orbifold subfactors, central sequences, and the relative Jones invariant kappa,
Internat. Math. Res. Notices 1995 (1995), 129-140. PDF file Oxford website MathSciNet

[23] Y. Kawahigashi, Classification of approximately inner automorphisms of subfactors,
Math. Ann. 308 (1997), 425-438. PDF file Springer LINK MathSciNet

[24] D. E. Evans, Y. Kawahigashi, "Quantum symmetries on operator algebras" (848 pages),
Oxford University Press, 1998. xvi+829 pp. MathSciNet

[25] D. E. Evans, Y. Kawahigashi, Orbifold subfactors from Hecke algebras II,
Commun. Math. Phys. 196 (1998), 331-361. PDF file funct-an/9702018 Springer LINK MathSciNet

[26] Y. Kawahigashi, Quantum doubles and orbifold subfactors,
"Operator Algebras and Quantum Field Theory", S. Doplicher, R. Longo, J. Roberts, L. Zsido eds, International Press (1997), 271-283. PDF file MathSciNet

[27] Y. Kawahigashi, Subfactors and paragroup theory,
"Operator Algebras and Operator Theory", (Contemp. Math. 228) (1998), 179-188. PDF file MathSciNet

[28] Y. Kawahigashi, Quantum Galois correspondence for subfactors,
J. Funct. Anal. 167 (1999), 481-497. PDF file ScienceDirect Academic Press IDEAL MathSciNet

[29] J. Böckenhauer, D. E. Evans, Y. Kawahigashi, On α-induction, chiral generators and modular invariants for subfactors,
Commun. Math. Phys. 208 (1999), 429-487. PDF file math.OA/9904109 Springer LINK MathSciNet

[30] Y. Kawahigashi, R. Longo, M. Müger, Multi-interval subfactors and modularity of representations in conformal field theory,
Commun. Math. Phys. 219 (2001), 631-669. PDF file math.OA/9903104 Springer LINK MathSciNet

[31] J. Böckenhauer, D. E. Evans, Y. Kawahigashi, Chiral structure of modular invariants for subfactors,
Commun. Math. Phys. 210 (2000), 733-784. PDF file math.OA/9907149 Springer LINK MathSciNet

[32] J. Böckenhauer, D. E. Evans, Y. Kawahigashi, Longo-Rehren subfactors arising from α-induction,
Publ. RIMS Kyoto Univ. 37 (2001), 1-35. PDF file math.OA/0002154 EMS MathSciNet

[33] Y. Kawahigashi, Braiding and nets of factors on the circle,
"Operator Algebras and Applications", H. Kosaki, ed. Adv. Stud. Pure Math. 38 (2004), 219-228. PDF file MathSciNet

[34] Y. Kawahigashi, Braiding and extensions of endomorphisms of subfactors,
"Mathematical Physics in Mathematics and Physics", R. Longo ed., The Fields Institute Communications 30, AMS Publications (2001), 261-269. PDF file MathSciNet

[35] Y. Kawahigashi, Generalized Longo-Rehren subfactors and α-induction,
Commun. Math. Phys. 226 (2002), 269-287. PDF file math.OA/0107127 Springer LINK MathSciNet

[36] Y. Kawahigashi, R. Longo, Classification of local conformal nets: Case c < 1,
Ann. of Math. 160 (2004), 493-522. PDF file math-ph/0201015 Annals website MathSciNet

[37] Y. Kawahigashi, Conformal quantum field theory and subfactors,
Acta Math. Sin. 19 (2003), 557-566. PDF file Springer LINK MathSciNet

[38] Y. Kawahigashi, N. Sato, M. Wakui, (2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants,
Adv. Math. 195 (2005), 165-204. math.OA/0208238. ScienceDirect MathSciNet

[39] Y. Kawahigashi, Classification of operator algebraic conformal field theories,
"Advances in Quantum Dynamics", Contemp. Math. 335 (2003), 183-193. PDF file math.OA/0211141 MathSciNet

[40] Y. Kawahigashi, R. Longo. Classification of two-dimensional local conformal nets with c < 1 and 2-cohomology vanishing for tensor categories,
Commun. Math. Phys. 244 (2004), 63-97. PDF file math-ph/0304022 Springer LINK MathSciNet

[41] Y. Kawahigashi, Subfactor theory and its applications --- operator algebras and quantum field theory ---,
"Selected Papers on Differential Equations Analysis", Amer. Math. Soc. Transl. 215, Amer. Math. Soc. (2005), 97-108. PDF file MathSciNet

[42] Y. Kawahigashi, Topological quantum field theories and operator algebras,
"Quantum Field Theory and Noncommutative Geometry", Lect. Notes in Phys. 662, Springer Verlag (2005), 241-253. PDF file math.OA/0306112 Springer LINK MathSciNet

[43] Y. Kawahigashi, Classification of operator algebraic conformal field theories in dimensions one and two,
"XIVth International Congress on Mathematical Physics", 476-485, World Scientific (2005). PDF file math-ph/0308029 MathSciNet

[44] Y. Kawahigashi, R. Longo, Noncommutative spectral invariants and black hole entropy,
Commun. Math. Phys. 257 (2005), 193-225. PDF file math-ph/0405037 Springer LINK MathSciNet

[45] Y. Kawahigashi, R. Longo, Local conformal nets arising from framed vertex operator algebras,
Adv. Math. 206 (2006), 729-751. PDF file math.OA/0407263 ScienceDirect MathSciNet

[46] Y. Kawahigashi, R. Longo, U. Pennig, K.-H. Rehren, Classification of non-local chiral CFT with c<1,
Commun. Math. Phys. 271 (2007), 375-385. PDF file math.OA/0505130 Springer LINK MathSciNet

[47] Y. Kawahigashi, Conformal field theory and operator algebras,
"New Trends in Mathematical Physics", Springer (2009), 345-356. PDF file arXiv:0704.0097 Springer LINK

[48] S. Carpi, Y. Kawahigashi, R. Longo, Structure and classification of superconformal nets,
Ann. Henri Poincaré 9 (2008), 1069-1121. arXiv:0705.3609 Springer LINK MathSciNet

[49] Y. Kawahigashi, Superconformal field theory and operator algebras,
"Noncommutativity and Singularities", Adv. Stud. Pure Math. 55, (2009), 69-81. PDF file MathSciNet

[50] S. Carpi, R. Hillier, Y. Kawahigashi, R. Longo, Spectral triples and the super-Virasoro algebra,
Commun. Math. Phys. 295 (2010), 71-97. arXiv:0811.4128 Springer LINK MathSciNet

[51] Y. Kawahigashi, From operator algebras to superconformal field theory,
J. Math. Phys. 51 (2010), 015209. arXiv:1003.2925 AIP website MathSciNet

[52] S. Carpi, Y. Kawahigashi, R. Longo, On the Jones index values for conformal subnets,
Lett. Math. Phys. 92 (2010), 99-108. arXiv:1002.3710 Springer LINK MathSciNet

[53] S. Carpi, Y. Kawahigashi, R. Longo, How to add a boundary condition,
Commun. Math. Phys. 322 (2013), 149-166. arXiv:1205.3924 Springer LINK MathSciNet

[54] S. Carpi, R. Hillier, Y. Kawahigashi, R. Longo, F. Xu, N=2 superconformal nets,
Commun. Math. Phys. 336 (2015), 1285-1328. arXiv:1207.2398 Springer LINK MathSciNet.

[55] Y. Kawahigashi, N. Suthichitranont, Construction of holomorphic local conformal framed nets,
Internat. Math. Res. Notices 2014 (2014), 2924-2943. arXiv:1212.3771 Oxford University Press MathSciNet.

[56] Y. Kawahigashi, Y. Ogata, E. Størmer, Normal states of type III factors,
Pacific J. Math. 267 (2014), 131-139. arXiv:1301.5737 Pacific Jouranl Site MathSciNet

[57] M. Bischoff, Y. Kawahigashi, R. Longo, K.-H. Rehren, Phase boundaries in algebraic conformal QFT,
Commun. Math. Phys. 342 (2016), 1-45. arXiv:1405.7863 Springer LINK MathSciNet

[58] M. Bischoff, Y. Kawahigashi, R. Longo, K.-H. Rehren, Tensor categories and endomorphisms of von Neumann algebras (with applications to Quantum Field Theory),
SpringerBriefs in Mathematical Physics Vol. 3, 2015. x+94 pp. arXiv:1407.4793 Springer LINK MathSciNet

[59] M. Bischoff, Y. Kawahigashi, R. Longo, Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case,
Doc. Math. 20 (2015), 1137-1184. arXiv:1410.8848 Doc. Math. Site MathSciNet

[60] S. Carpi, Y. Kawahigashi, R. Longo, M. Weiner, From vertex operator algebras to conformal nets and back,
Mem. Amer. Math. Soc. 254 (2018), no. 1213, vi+85 pp. arXiv:1503.01260 AMS Site MathSciNet

[61] Y. Kawahigashi, Conformal field theory, tensor categories and operator algebras,
J. Phys. A 48 (2015), 303001 (57 pages). arXiv:1503.05675 IOP site MathSciNet

[62] Y. Kawahigashi, A remark on gapped domain walls between topological phases,
Lett. Math. Phys. 105 (2015), 893-899. arXiv:1504.01088 Springer LINK MathSciNet

[63] Y. Kawahigashi, A relative tensor product of subfactors over a modular tensor category,
Lett. Math. Phys. 107 (2017), 1963-1970. arXiv:1612.03549 Springer LINK MathSciNet

[64] Y. Kawahigashi, The relative Drinfeld commutant of a fusion category and α-induction,
Internat. Math. Res. Notices 2019 (2019), 6304-6316. arXiv:1706.06816 Oxford website MathSciNet

[65] Y. Kawahigashi, Conformal field theory, vertex operator algebras and operator algebras,
Proceedings of the International Congress of Mathematicians, Vol. III, 2597-2616, World Scientific, Rio de Janeiro, 2018. arXiv:1711.11349 ICM site MathSciNet

[66] Y. Kawahigashi, A remark on matrix product operator algebras, anyons and subfactors,
Lett. Math. Phys. 110 (2020), 1113-1122. arXiv:1907.12169 Springer LINK MathSciNet

[67] Y. Kawahigashi, Projector matrix product operators, anyons and higher relative commutants of subfactors,
Math. Ann. 387 (2023), 2157-2172. arXiv:2102.04562 Springer LINK MathSciNet

[68] Y. Kawahigashi, Two-dimensional topological order and operator algebras,
Internat. J. Modern Phys. B 35 (2021), 2130003 (16 pages). arXiv:2102.10953 World Scientific MathSciNet

[69] Y. Kawahigashi, A characterization of a finite-dimensional commuting square producing a subfactor of finite depth,
Internat. Math. Res. Notices 2023 (2023), 8419-8433. arXiv:2111.14332 Oxford website MathSciNet

[70] Y. Kawahigashi, α-induction for bi-unitary connections,
Quantum Topol. (to appear) arXiv:2302.05577 EMS website

[71] D. E. Evans and Y. Kawahigashi, Subfactors and mathematical physics,
Bull. Amer. Math. Soc. 60 (2023), 459-482. arXiv:2303.04459 AMS website MathSciNet

[72] V. Benedetti, H. Casini, Y. Kawahigashi, R. Longo, and J. M. Magan, Modular invariance as completeness,
arXiv:2408.04011

[73] Y. Kawahigashi, Flatness of α-induced bi-unitary connections and commutativity of Frobenius algebras,
arXiv:2408.05501

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