**Contemporary Mathematics**

Volume: 228;
1998;
389 pp;
Softcover

MSC: Primary 47; 46;

Print ISBN: 978-0-8218-1093-4

Product Code: CONM/228

List Price: $105.00

AMS Member Price: $84.00

MAA Member Price: $94.50

**Electronic ISBN: 978-0-8218-7819-4
Product Code: CONM/228.E**

List Price: $105.00

AMS Member Price: $84.00

MAA Member Price: $94.50

# Operator Algebras and Operator Theory

Share this page *Edited by *
*Liming Ge; Huaxin Lin; Zhong-Jin Ruan; Dianzhou Zhang; Shuang Zhang*

This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered were \(C^*\)-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.

#### Readership

Graduate students and research mathematicians interested in operator theory; engineers and physicists.

# Table of Contents

## Operator Algebras and Operator Theory

- Contents vii8 free
- Preface ix10 free
- Foreword xi12 free
- List of Participants xiii14 free
- Program xvii18 free
- Operator means and spectral decomposability in ergodic theory and Hilbert space operator theory 122 free
- Some remarks on Toeplitz operators on discrete groups 1738
- A general construction of bivariant K-theories on the category of C* -algebras 3152
- Residually finite dimensional C* -algebras 4566
- OLp spaces 5172
- Simple inductive limits of C* -algebras with building blocks from spheres of odd dimension 79100
- Approximate divisibility of simple inductive limit C* -algebras 87108
- On maximality of entropy in finite von Neumann algebras 99120
- Free entropy and approximate equivalence in von Neumann algebras 111132
- Bivariant Chern character and the analog Baum-Connes map 133154
- Dual cones and Tomita-Takesaki theory 151172
- Subfactors and paragroup theory 179200
- Notes on C* -algebras of graphs 189210
- Frames and wavelets from an operator theoretic point of view 201222
- A classification theorem for infinite Toeplitz algebras 219240
- AH algebras with the ideal property 277298
- Ordered K-theory for C* -algebras of minimal homeomorphisms 289310
- Questions on quantization 315336
- On sums of finite projections 327348
- Groupoid approach to quantum projective spaces 341362
- Representations of topological dynamical systems and C* -algebras 351372
- Purely infinite simple C* -algebras arising from reduced group C* -algebras 365386
- Introduction 365386
- 0. Preliminaries and the main results 366387
- 1. C*γ (Γ, Ph) and the generators of Γ 369390
- 2. Stable isomorphism between C*γ (Γ, Pg ) and Ph C*γ (Γ, Pg ) Ph 371392
- 3. Toeplitz algebra Tg and the corner Pg C*γ (Γ, Pg ) Pg 373394
- 4. A property of Γ 377398
- 5. Proof of the main theorem 380401
- 6. Concluding remarks and problems 385406