Algebraic Methods in Operator Theory - Tapa blanda

Sinopsis

I. Single Operators and Applications.- On the commutant lifting theorem and Hankel operators.- Operator semigroups, invariant sets and invariant subspaces.- The local De Branges-Rovnyak construction and complete Nevanlinna-Pick kernels.- Local spectral theory for multipliers and convolution operators.- Operator-valued Poisson kernels and standard models in several variables.- II. Nonselfadjoint Algebras.- Elementary operators and subalgebras.- Questions on bimodules of nest algebras.- The universal factorization property for commutative subspace lattices.- Compression limit algebras.- Inverse semigroups, groupoids and a problem of J. Renault.- On Banach algebras generated by two idempotents.- III.C* Algebras.- Berezin-Toeplitz quantization.- Normal elements of a simple C*-algebra.- A Gelfand-Naimark theorem for C*-algebras.- The generalized Weyl-von Neumann theorem and C*-algebra extensions.- The cb-norm of a derivation.- Hopf C*-algebras and their representations.- Quasi-diagonalizing unitaries and the generalized Weyl-von Neumann Theorem.- IV. von Neumann Algebras and Subfactors.- On the structure of finite depth subfactors.- Universally bounded operators on von Neumann algebras of type II1.- Non occurrence of star graphs as principal graphs.- Depth 2 subfactors and Hopf algebra crossed products.- V. Representations of Groups and Algebras on Hilbert Space.- Generalized characters of U?.- Module structures on Hochschild and cyclic cohomology of crossed products.- q-Relations and stability of C*-isomorphism classes.- A test for injectivity for asymptotic morphisms.- On the "quantum disk" and a "non-commutative circle".- Landstad duality for coactions on C*-algebras.- Quantization of Poisson SU(2).- VI. Geometry and Topology.- "Vector bundles" over quantum Heisenberg manifolds.- Deformations of topological spaces predicted by E-theory.- Analyticity, uniform averaging and K-Theory.- Boundary value problems for functions analytic on multiply connected domains on spaces with a general weight.

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