Algebraic Methods in Operator Theory / Edition 1

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Editorial Reviews

A selection of articles aimed at bridging different but related areas of mathematics which have recently shown unexpected connections. Papers are grouped into sections on single operators and applications, nonselfadjoint algebras, C*-algebras, von Neumann algebras and subfactors, representation of groups and algebras on Hilbert space, and geometry and topology. No index. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780817637453
  • Publisher: Birkhauser Verlag
  • Publication date: 4/1/1995
  • Edition description: 1994
  • Edition number: 1
  • Pages: 360
  • Product dimensions: 0.88 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

On the commutant lifting theorem and Hankel operators 3
Operator semigroups, invariant sets and invariant subspaces 10
The local De Branges-Rovnyak construction and complete Nevanlinna-Pick kernels 15
Local spectral theory for multipliers and convolution operators 25
Operator-valued Poisson kernels and standard models in several variables 37
Elementary operators and subalgebras 49
Questions on bimodules of nest algebras 52
The universal factorization property for commutative subspace lattices 59
Compression limit algebras 66
Inverse semigroups, groupoids and a problem of J. Renault 79
On Banach algebras generated by two idempotents 90
Berezin-Toeplitz quantization 101
Normal elements of a simple C*-algebra 109
A Gelfand-Naimark theorem for C*-algebras 124
The generalized Weyl-von Neumann theorem and C*-algebra extensions 134
The cb-norm of a derivation 144
Hopf C*-algebras and their representations 153
Quasi-diagonalizing unitaries and the generalized Weyl-von Neumann Theorem 163
On the structure of finite depth subfactors 175
Universally bounded operators on von Neumann algebras of type H[subscript 1] 195
Non occurrence of star graphs as principal graphs 205
Depth 2 subfactors and Hopf algebra crossed products 218
Generalized characters of [actual symbol not reproducible] 225
Module structures on Hochschild and cyclic cohomology of crossed products 236
q-Relations and stability of C*-isomorphism classes 261
A test for injectivity for asymptotic morphisms 272
On the "quantum disk" and a "non-commutative circle" 276
Landstad duality for coactions on C*-algebras 291
Quantization of Poisson SU(2) 296
"Vector bundles" over quantum Heisenberg manifolds 307
Deformations of topological spaces predicted by E-theory 316
Analyticity, uniform averaging and K-Theory 328
Boundary value problems for functions analytic on multiply connected domains on spaces with a general weight 350
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