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Operator Algebras and Operator Theory.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 1998Copyright date: ©1997Edition: 1st edDescription: 1 online resource (414 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821878194
Subject(s): Genre/Form: Additional physical formats: Print version:: Operator Algebras and Operator TheoryDDC classification:
  • 512/.55
LOC classification:
  • QA326 -- .I57 1997eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Foreword -- List of Participants -- Program -- Operator means and spectral decomposability in ergodic theory and Hilbert space operator theory -- Some remarks on Toeplitz operators on discrete groups -- A general construction of bivariant K-theories on the category of C* -algebras -- Residually finite dimensional C* -algebras -- OLp spaces -- Simple inductive limits of C* -algebras with building blocks from spheres of odd dimension -- Approximate divisibility of simple inductive limit C* -algebras -- On maximality of entropy in finite von Neumann algebras -- Free entropy and approximate equivalence in von Neumann algebras -- Bivariant Chern character and the analog Baum-Connes map -- Dual cones and Tomita-Takesaki theory -- Subfactors and paragroup theory -- Notes on C* -algebras of graphs -- Frames and wavelets from an operator theoretic point of view -- A classification theorem for infinite Toeplitz algebras -- AH algebras with the ideal property -- Ordered K-theory for C* -algebras of minimal homeomorphisms -- Questions on quantization -- On sums of finite projections -- Groupoid approach to quantum projective spaces -- Representations of topological dynamical systems and C* -algebras -- Purely infinite simple C* -algebras arising from reduced group C* -algebras -- Introduction -- 0. Preliminaries and the main results -- 1. C*γ (Γ, Ph) and the generators of Γ -- 2. Stable isomorphism between C*γ (Γ, Pg ) and Ph C*γ (Γ, Pg ) Ph -- 3. Toeplitz algebra Tg and the corner Pg C*γ (Γ, Pg ) Pg -- 4. A property of Γ -- 5. Proof of the main theorem -- 6. Concluding remarks and problems.
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Intro -- Contents -- Preface -- Foreword -- List of Participants -- Program -- Operator means and spectral decomposability in ergodic theory and Hilbert space operator theory -- Some remarks on Toeplitz operators on discrete groups -- A general construction of bivariant K-theories on the category of C* -algebras -- Residually finite dimensional C* -algebras -- OLp spaces -- Simple inductive limits of C* -algebras with building blocks from spheres of odd dimension -- Approximate divisibility of simple inductive limit C* -algebras -- On maximality of entropy in finite von Neumann algebras -- Free entropy and approximate equivalence in von Neumann algebras -- Bivariant Chern character and the analog Baum-Connes map -- Dual cones and Tomita-Takesaki theory -- Subfactors and paragroup theory -- Notes on C* -algebras of graphs -- Frames and wavelets from an operator theoretic point of view -- A classification theorem for infinite Toeplitz algebras -- AH algebras with the ideal property -- Ordered K-theory for C* -algebras of minimal homeomorphisms -- Questions on quantization -- On sums of finite projections -- Groupoid approach to quantum projective spaces -- Representations of topological dynamical systems and C* -algebras -- Purely infinite simple C* -algebras arising from reduced group C* -algebras -- Introduction -- 0. Preliminaries and the main results -- 1. C*γ (Γ, Ph) and the generators of Γ -- 2. Stable isomorphism between C*γ (Γ, Pg ) and Ph C*γ (Γ, Pg ) Ph -- 3. Toeplitz algebra Tg and the corner Pg C*γ (Γ, Pg ) Pg -- 4. A property of Γ -- 5. Proof of the main theorem -- 6. Concluding remarks and problems.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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