Overview

This text emphasizes the use of algebraic methods and techniques in the study of operators and their applications. It includes carefully selected articles aimed at bridging dfferent, but related, areas of mathematics which have only recently displayed unexpected interconnections, as well as new cross-fertilizations. The articles have been grouped into chapters on single operators and applications, non-selfadjoint algebras, C-algebras, von Neumann algebras and subfactors, representation of groups and algebras on Hilbert space, and geometry and topology. This has been done in an effort to stress the complementarity between diversity of topics on one hand, and unity of ideas on the other.

Full Product Details

Author:   Raul E. Curto ,  Palle E.T. Jorgensen
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1994 ed.
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.540kg
ISBN:  

9780817637453

ISBN 10:   0817637451
Pages:   360
Publication Date:   01 April 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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 quantumHeisenberg 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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