Updates/corrections on the book "Quantum Symmetries on Operator Algebras"

This page is for updates and corrections on the book "Quantum Symmetries on Operator Algebras" by D. E. Evans and Y. Kawahigashi (Oxford University Press, 1998).

Here is a list ordered by page numbers.

• Page 435, Line 1: $\tau \to -1/\tau$ should have been $\tau \to \tau+1$. (7/16/1998)
• Page 608, Line -11: $e^{2\pi i/n}$ should have been $e^{\pi i/n}$. (8/11/1998)
• Page 494, Figure 9.24: The verical arrow at the right should have been moved upward. (8/11/1998)
• Page 494, Figure 9.25: "on $pV$" should have been "on $pV_1$". (8/11/1998)
• Page 610, (11.7.41): $xy^2 - xy - y$ should have been $xy^2 -x^2 -y$ (8/18/1998)
• Page 287, Theorem 6.40: On the right hand side for $m_U$ even, it should have been $2^{m_U/2} \pi_{P'}$, where $P'$ is a basis projection (usually different from $P$) but can be either $P_+$ or $P_-$ as defined in the proof. (8/28/1998)
• Page 446, Figure 8.37: Two vertices in the central square are redundant. (8/18/1998) [The correct figure can be found on page 224 of the B\"ockenhauer-Evans paper in Commun. Math. Phys. 205, 1999.]
• Page 291, Line 4:(B\"ockenhauer 1996a) should have been (B\"ockenhauer 1996b) (8/18/1998)
• Page 762, Line 20: $a(U)$ should have been $\alpha(U)$. (8/19/1998)
• Page 763, Line 7: $u(U^*u)u^*={\bar \kappa}$ should have been $u(U^*u)u^*={\bar \kappa}U^*u$. (8/19/1998)
• Page 792, Line -1: Volume 45 for the entry (Jones 1980a) should have been 46. (8/19/1998)
• Page 806: Page numbers of the paper Popa (1994a) should have been 163--255. (9/7/1998)
• Page 755, Line -2: All the inclusion symbols should have been reversed. (10/30/1998)
• Page 546, Line 20: $[M:\rho(M)]_0$ should have been $[M:\rho(M)]_0^{1/2}$. (11/24/1998)
• Page 668, Line 6: "can can" should have been "can". (11/26/1998)
• Page 653, Figure 12.40: The labels for the top and bottom edges of the upper right square should have been $A'$, not $A$. (4/2/1999)
• Page 654, Line 5: "Tube $M$" should have been "Tube $\cal M$". (4/2/1999)
• Page 762, Line 8: "this number $\kappa(\alpha,\beta)$ does not depend on the choice of $u$ and $\{u_n\}_n$" should have been "this number $\kappa(\alpha,\beta)$ does not depend on the choice of $\{u_n\}_n$". Trivially, this number does depend on the choice of $u$, but $\kappa(\alpha)$ in Line 12 is independent from this choice. (5/31/1999)
• Page 816: The journal for the entry (Winslow 1995a) should have been Transactions of the American Mathematical Society. (6/16/1999)
• Page 203, Line 17: $x_0$ should have been $x=0$. (8/24/1999)
• Page 738, Line 3: Corollary 15.13 should have been Lemma 15.12. (10/26/1999)
• Page 815, Line -7: $SU(N)$ should have been $LSU(N)$. (11/22/1999)
• Page 71, Line 7: $\bigcap$ should have been $\bigcup$. (12/13/1999)
• Page 77, Line 7: Path(p,q) should have been Path(p,r). (12/13/1999)
• Page 81, Lines 10-11: Both $\Omega[m]$ should have been $\Omega[n]$. (12/13/1999)
• Page 483, Line 3: "A onto B" should have been "B onto A". (4/7/2000)
• Page 135, Line 1: $r'\beta'/r\beta$ should have been $s'\beta'/s\beta$. (6/12/2000)
• Page 454, Line 12: This line should have been $\langle \phi(u_1,v_1)\phi(u_2,v_2)\rangle$. (6/12/2000)
• Page 454, Line 16: The left hand side should have been $\langle \phi(u_1,v_1)\phi(u_2,v_2)\rangle$. (6/12/2000)
• Page 454, Line 17: $2\pi L/x$ should have been $L/2\pi x$. (6/12/2000)
• Page 680, Line 8: Delete "of". (6/12/2000)
• Page 115, Line 10: "I, II, III factors respectively" should have been "I$_n$ ($n<\infty$), II$_1$, and (I$_\infty$, II$_\infty$, III) factors respectively". (7/29/2000)
• Page 760, Line -2: $N \ge 3$ should have been $n \ge 3$. (9/11/2000)
• Chapter 12: Some normalizations are missing or inconsistent. See a preprint "(2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants", by Y. KawahigashiĄ¤N. Sato, and M. Wakui (math.OA/0208238) in 2002. (8/12/2002)
• Page 763, Line 20:"$(N^\omega\cap M')'\cap N^\omega$" should have been $(N^\omega\cap M')'\cap N^\omega=N$. (7/14/2005)

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