**Fields Institute Communications**

Volume: 13;
1997;
323 pp;
Hardcover

MSC: Primary 46;

Print ISBN: 978-0-8218-0522-0

Product Code: FIC/13

List Price: $101.00

Individual Member Price: $80.80

**Electronic ISBN: 978-1-4704-2981-2
Product Code: FIC/13.E**

List Price: $101.00

Individual Member Price: $80.80

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# Operator Algebras and Their Applications

Share this page *Edited by *
*Peter A. Fillmore; James A. Mingo*

A co-publication of the AMS and Fields Institute

The study of operator algebras, which grew out of von
Neumann's work in the 1920s and the 1930s on modelling quantum
mechanics, has in recent years experienced tremendous growth and
vitality. This growth has resulted in significant applications in
other areas—both within and outside mathematics. The field was a
natural candidate for a 1994–1995 program year in Operator
Algebras and Applications held at The Fields Institute for Research in
the Mathematical Sciences.

This volume contains a selection of papers that arose from the
seminars and workshops of the program. Topics covered include the
classification of amenable \(C^*\)-algebras, the Baum-Connes
conjecture, \(E_0\)
semigroups, subfactors, E-theory,
quasicrystals, and the solution to a long-standing problem in operator
theory: Can almost commuting self-adjoint matrices be approximated by
commuting self-adjoint matrices?

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

#### Readership

Graduate students, research mathematicians, and physicists interested in functional analysis.

# Table of Contents

## Operator Algebras and Their Applications

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Minimal 𝐸₀-semigroups 110
- Bimodules, higher relative commutants, and the fusion algebra associated to a subfactor 1322
- On selfdual Hilbert modules 6574
- Künneth splittings and classification of 𝐶*-algebras with finitely many ideals 8190
- Cut-down method in the inductive limit decomposition of noncommutative tori. II: The degenerate case 91100
- A classification of simple limits of dimension drop 𝐶*-algebras 125134
- Remarks on the Baum-Connes conjecture and Kazhdan’s property 𝑇 145154
- Integer groups of coinvariants associated to octagonal tilings 155164
- On the existence of traces on exact stably projectionless simple 𝐶*-algebras 171180
- Crossed products of Cuntz algebras by quasi-free automorphisms 173182
- Almost commuting selfadjoint matrices and applications 193202
- Real rank of multiplier algebras of 𝐶*lgebras of real rank zero 235244
- Approximate unitary equivalence of homomorphisms from odd Cuntz algebras 243252
- Classification of certain infinite simple 𝐶*-algebras. III 257266
- KMS states and phase transitions. II 283292
- Asymnptotic morphisms and 𝐸-theory 291300
- Representing 𝐾₁ in the unitary group 315324
- Back Cover Back Cover1335