Graduate seminars on operator algebras

File	Format	Author	Date
Interpolation	xhtml+mathml	Yamashita Makoto	2006-07-15
Decomposition of type I von Neumann algebra	latex	Ogawa Tomohiro	2006-07-07
von Neumann Algebra of Foliation	latex	Yamashita Makoto	2006-06-29
On perturbation	xhtml+mathml	Yamashita Makoto	2006-05-02

Progress

Apr 11 by Yamashita
- tensor product of von Neumann algebras
- commutation theorem for tensor product von Neumann algebras
Apr 12 by Sakiyama
- structure of C*-subalgebras of the compact operator algebra
- structure of finite dimensional C*-algebras
Apr 17 by Tanimoto
- Approximate unitary equivalence of representations
- noncommutative Weyl-von Neumann theorem
- AF C*-algebras
Apr 18 by Yamashita
- crossed product of von Neumann algebra by group action
Apr 18 by Ogawa
- structure of projection lattice of von Neumann algebras
- comparability theorem
Apr 24 by Mimura
- Bratteli diagram
- Perturbation of finite dimensional subalgebras
Apr 25 by Zhang
- L² representation of GNS construction for abelian C*-algebras
- Stone spaces
May 1 by Mimura
- proof for a perturbation theorem
May 1 by Sakiyama
- Conjugacy-uniquness of the finite dimensional part in AF algebras
- Examples of commutative AF algebras
May 2 by Yamashita
- Foliation on manifolds
- Canonical L² representation of foliation goupoids
- Direct integral of Hilbert spaces
- Decomposable operator algebra
- von Neumann algebra of foliation
May 23 by Ogawa
- Cyclic projections
- Spatial homomorphism of von Neumann algebras
- Classification of projections and von Neumann algebras
May 23 by Sakiyama
- Proof of a perturbation theorem
May 23 by Tanimoto
- Correspondence between ideals of an AF C*-algebra and subsets of its Bratteli diagram
- UHF algebras
May 26 by Zhang
- Structure of hyperstonian spaces
- Hyperstonian spaces as spectra of abelian von Neumann algebras
June 20 by Yamashita
- Correspondence between type I von Neumann algebras and foliations admitting measurable sections
- Holonomy groupoind of foliation
- Density on manifolds
- Module of holonomy groupoid with respect to a transverse density
June 21 by Mimura
- Canonical anticommutation relations algebra
- Gauge invariant CAR algebra
- Extension of C*-algebras by AF ideals
June 26 by Sakiyama
- Approximation in AF algebras
- Hereditary subalgebras of AF algebras are again AF
- Extension of AF algebras
June 27 by Ogawa
- Decompositioin of von Neumann algebra into type I, II, III/finite/infinite components
- Structure of type I von Neumann algebras
July 7 by Zhang
- Spectrum of some bounded function algebras
- Conjugate spaces of abelian von Neumann algebras
July 10 by Tanimoto
- Left Hilbert algebras
- Modular operator of left Hilbert algebra
- Right Hilbert algebra associated to a given left Hilbert algebra
July 11 by Yamashita
- Left Hibert algebra associated to a measurable groupoid
- Spatial derivative of a weight on the foliation von Neumann algebra
- Extensioni of a weight on the foliation von Neumann algebra to the decomposable operator algebra
- Holonomy invariant operator density
- Type III_λ von Neumann algebra arising from the twisted torus
July 12 by Mimura
- K₀-group of C*-algebras
- Dimension group structure of the K₀-group
- K₀-group of matrix algebras
July 18 by Ogawa
- Finite projections
- Structure of semifinite von Neumann algebras
- Properly infinite projections
July 19 by Sakiyama
- Homorphism of AF algebras induced by K₀-theory morphism
- Riesz interpolation of abelian grouops
- Construction of the AF algebra having any given dimension group as its K₀-group
July 24 by Tanimoto
- Modular automorphism of left Hilbert algebras
- Weights on von Neumann algebras
- Left Hilbert algebra associated to a normal weight

Graduate seminars on operator algebras (summer 2006)

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Participants

Supplementary Files

Progress