### Operator Algebras Program

### Program Committee:

G. A. Elliott (Toronto), M. D. Choi (Toronto), A. Connes (College
de France), K.R. Davidsion (Waterloo), P. Fillmore (Dalhousie), D. Handelman
(Ottawa), N. Higson (Pannsylvania State), V. Jones (California at Berkeley),
I. Putnam (Victoria), D. Woisulescu (California at Berkeley)

In 1994 - 1995 an emphasis year on Operator Algebras and their interrelations
with other fields of mathematics. In addition to regular meetings of
seminar and graduate courses (listed below), there will also be seven
workshops throughout the year. In addition, the Institute will provide
the organization and facilities to host the 23rd Canadian Annual Symposium
on Operators Algebras.

Operator algebras were "born" in the 30's with Von Neumann's
work on modelling quantum mechanics as an algebraic system. Von Neumann
algebras and C*-algebras were originally defined as sel-adjoint subalgebras
of the algebra of all bounded linear operators on a Hlbert space. But
both classes were soon given abstract characterizations as well. Many
interesting classes of these algebras occur naturally in many parts
of mathematics. For example, given any locally compact group, there
is a natural C*-algebra associated to it that contains all the information
about its represntation theory. More generally, any group acting on
a topological or measure space gives rise to a natural C*-algebra that
encodes information about the groiup action. A major thrust has been
attempts to classify these algebras. A major breakthrough came from
the introduction of K-theoretic methods from ring theory and algebraic
topology. This resulted in both a detailed analysis of important new
classes of algebras and an importatnt tool for the potaential classification
of a very large class of algebras.

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### Workshops:

**March 29 - April 2, 1995** -- *Subfactors and their Applications*

Coordinators: Sorin Popa (University of California, Los Angeles), Antony
Wassermann, Hans Wenzl (University of California, San Diego)

**March 8 - 12, 1995** -- *Operator Algebra Free Products and
Random Matrices *

Coordinator: Dan Voiculescu (University of California, Berkeley)

**December 6 - 10, 1994** -- *The Classification of Amenable C*-Algebras*

Coordinators: George Elliott (University of Toronto and copenhagen),
Michael Rordam (Odense Universitet, Switzerland)

**October 26 - 30, 1994** -- *Dynamical Systems and C*-Algebras*

Coordinators: David Handelman (University of Ottawa), Ian Putnam (University
of Victoria)

**September 14 - 18, 1994** -- *The Baum-Connes Conjectures *

Coordinator: Nigel Higson (Pennsylvania State University)

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### Courses

**September 1994 - April 1995** -- *Structure and classifications
of amenable C*-algebras*

Lecturer: George Elliott (University of Toronto)

**September 1994 - April 1995** -- *Introduction to Operator Algebras*

Lecturers: Peter Fillmore (Dalhousie University) and Man-Duen Choi (University
of Toronto)

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### Operator Algebras and Applications Graduate
Student Seminar

**April 24, 1995** -- Yasu Kawahigashi (University of Tokyo)

Introduction to Ocneanu's Paragroup Theory

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### Operator Algebras and Applications Special Seminar

**June 8, 1995** -- Alan Carey (University of Adelaide)

*Dixmier-Douady Classes, Bundle Gerbes and Anomalies*

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### Operator Algebras and Applications Seminar
Series

**June 22, 1995** -- Huaxin Lin (University of Oregon)

Approximately Commuting Self-Adjoint Matrices

**June 22, 1995** -- Carl Winslřw (University of Copenhagen)

Martingales of Subfactors

**June 20-22, 1995** -- Stanislaw L. Woronowicz (University of
Warsaw)

Multiplicative Unitaries

**June 20, 1995** -- Berndt Brenken (University of Calgary)

Algebras Associated With Some Expansive Group Automorphisms

**June 20, 1995** -- Marius Dadarlat (Purdue University)

On the K-theory of AH C*-algebras

**June 19, 1995** -- Guihua Gong (University of Puerto Rico)

Classification of Simple AH Algebras

**June 6, 1995** -- Mikael Rřrdam (Odense University)

How to Classify Extensions of Cuntz-Krieger-Kirchberg Algebras

**May 29 - June 3, 1995** -- Rysard Nest (University of Copenhagen)

Introduction to: Operations on Cyclic Cohomology, Deforation and Indes
Theorems

**May 30, 1995** -- Claude Schochet (Wayne State University)

A Canonical Decompostition of the Kasparov Groups

**May 3, 1995** -- Terry Loring (University of New Mexico)

Lifting and Approximation Problems related to Matrices

**May 4, 1995** -- László Zsidó (University of Rome "Tor Vergata")

*A Monotone Closure Property of Norm Closed Two-Sided Ideals in W*-algebras*

**May 4, 1995** -- László Zsidó (University of Rome "Tor Vergata")

A Monotone Closure Property of Norm Closed Two-Sided Ideals in W*-algebras

**April 25, 1995** -- Dan Voiculescu (University of California,
Berkeley)

Free Entropy and the Absense of Cartan Subalgebras in Free Group Factors

**April 20, 1995** -- Klaus Thomsen (Aarhus University)

The Classification Result for Simple Inductive Limits of Circle Algebras

**April 19-21, 24-25, May 1-2, 1995** -- Adrian Ocneanu (The Pennsylvania
State University) *Paths on Coexter Diagrams: From Platonic Solids
and Singularities to Minimal Models and Subfactors*

**April 11, 1995** -- Claudia Pinzari (University of Rome II)*
*

Jones's Indes for Infinite Factors and Endomorphisms of Cuntz Algebras

**March 28, 1995** -- Uffe Haagerup (Odense University)

Quasi-traces

**March 21, 23, 1995** -- Satoshi Goto (Tokyo University)

Introduction to Subfactors

**March 21, 1995** -- William Arveson (University of California,
Berkeley)

*Recent Progress in E*_{0}-semigroups

**March 13, 1995** -- Roland Speicher (Institut für Angewandte Mathematik,
University of Heidelberg)* Free Stochastic Integration*

**February 28, 1995** -- Erik Christensen (University of
Copenhagen)

Cohomological Characterizations of Injective von Neumann Algebras

**February 21, 14, 1995** -- Zhong-Jin Ruan (University of Illinois)

Operator Spaces and their Applications (Part I & II)

**February 2, 9, 1995** -- Roland Leitner (University of Vienna)

A Generalization of Jones Index Theory to Arbitrary Factors (I &
II)

**February 7, 1995** -- Alexandru Nica (The Fields Institute)

Toeplitz Algebras on Semigroups, via the Groupoid Method

**January 17, 24, 31, 1995** -- James A. Mingo (Queens University)

C*-algebras Arixing from Equivalence Relations (Parts I, II & III)

**January 10, 1995** -- Guihua Gong (University of Puerto Rico)

On the Classification of Non-Simple ADH Algebras

**November 29, 1994** -- Alexander Kumjian (University of
Nevada)

Traces on Simple Stably Projectionless C*-Algebras

**November 22, 1994** -- Norberto Salinas (University of Kansas)

Teoplitz Operators and Non-Commutative Duality

**November 15, 1994** -- Sřren Eilers (Mathematics Institute, Copenhagen)

A Complete Invariant for AD-algebras with Bounded Dimension Drop

**November 1, 1994** -- Jerry Kaminker (Indiana University-Purdue
University, Indianapolis) *Eta Invariants, Spectral Flow and Operator
Algebras*

**October 18, 1994** -- Peter Friis (Mathematics Instutite, Copenhagen)

Dimension Groups With Torsion

**October 13, 1994** -- Řyvind Ryan (University of Oslo)

A New Approach to the Classification of Commutator Ideals

**October 12 &19, 1994** -- Masoud Khalkhali (University of
Heidelberg)

Cyclic Cohomology

**October 10, 1994** -- Mikael Rřrdam (Odense University)

Classifiable Infinite Simple C*-algebras in General, and Crossed Products
of AF- and AT-algebras by Actions of Z in particular

**October 4, 1994** -- Jonathan Samuel (Dalhousie University)

*E-theory*

**October 4, 1994** -- Alexander Kumjian (University of Nevada)

*Some Simple Sably Projectionless C*-Algebras*

**September 20, 1994** -- N. Christopher Phillips (University of
Oregon)

Classifaction for Odd Cuntz Algebras

**September 19, 1994** -- Ryszard Nest (University of Copenhagen)

Micro-course in Cyclic Cohomology

**September 13, 1994** -- Ryszard Nest (University of Copenhagen)

Depth Two Inclusion of Factors

**September 1, 1994** -- Florin Radulescu (University of
Toronto)

*Free Groups, Continuous Dimension, and Berezin Quantinization*

**August 25, 1994** -- N. Christopher Phillips (University
of Oregon)

Uniqueness of Homomorphisisms from O

**July 21, 1994** -- Guihua Gong (University of Puerto Rico)

Certain Non-isomorphic Inductive Limit C*-algebras

**July 14, 1994** -- Huaxin Lin (State University of New
York, Buffalo)

Almost Commuting Unitaries and Classification of Even Cuntz-circle Algebras

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### Post-Doctoral Seminar on Operator Algebras and
Applications

**May 25, 1995** -- Larry Schweitzer (Arizona State University)

Dense Subalgebras of C*-Algebras

**May 4, 1995** -- Allan Donsig (University of Toronto)

Uniqueness of Masas in (Non-Self-Adjoint) AF Operator Algebras

**April 6, 1995** -- Florin Boca (University of Toronto)

*Ergodicity and Non-Commutative Tori *

**March 23, 1995** -- Qing Lin (The Fields Institute)

*A Complete Classification of Simple Non-Commutative 3-Tori*

**March 2, 1995** -- Ken Dykema (The Fields Institute)* *

Voiculescu's Free Convolution

**March 2, 1995** -- Beatriz Abadie (The University of Uruguay)

Crossed Products by Hilbert C*-bimodules

**February 16, 21, 1995** -- Yushifumi Tsuchimoto (Kyoto University)

A Definition of Non-commutative Algebraic Geometry (Part I & II)

**February 23, 1995** -- Hiroyuki Osaka (The Fields Institute)

On the Brown-Pedersen Conjectures in C*-algebras of Real Rank Zero

**January 26, 1995** -- Branka Pavlovic (The Fields Institute)

Defining a metric on a compact Hausdorff Space X via Operators from
C(X)

**January 12, 1995** -- Guangwu Xu (State University of New
York, Buffalo)

Completely Bounded Multipliers and Weakly Almost Periodic Functions
on Locally Compact Groups

**December 15, 1994** -- Chun-Gil Park (University
of Maryland)

Principle PU(k)-Bundles over a Torus T^{n}

**December 1, 1994** -- Houben Huang (The Fields Institue)

Extension of Triangular Operators

**December 1, 1994** -- Rajarama Bhat (The Fields Institute)

Semigroups of CP Maps and Continuous Tensor Product Systems

**November 24, 1994** -- Ileana Ionascu (University of Waterloo)

Hyper-reflexivity in Operator Algebras and Stability

**November 17, 1994** -- Ja A Jeong (The Fields Institute)

Purely Infinite Simple C*-crossed Products

**November 17, 1994** -- Qing Lin (The Fields Institute)

Inductive Limit Decompostion of C(T^{2}) x Z

**November 10, 1994** -- Branka Pavlovic (The Fields
Institute)

Automatic Contiutity of Lipschitz Algebras

**November 10, 1994** -- Rajarama Bhat (The Fields
Institute)

K. Thomsen's Krein-MilmanType Theorem

**November 3, 1994** -- Florin Radulescu (The Fields
Institute)

On Invariant Berezin Quantization

**October 20, 1994** -- Hiroyuki Osaka (The Fields Institute)

Real Rank of C*-algebras

**October 13, 1994** -- Hongbing Su (The Fields Institute)

Classification for Inductive Limits of Toeplitz Algebras

**October 6, 1994** -- Chun-Gil Park (University of Maryland)

The Bundle Structure of Non-Commutative Tori

**September 22, 1994** -- Ken Stevens (University of Toronto)

Non-Simple Inductive Limits and Ribbons

**September 8, 1994** -- Xinhui Jiang (State University of
New York at Stony Brook)

An Index Theorem on Foliated Bundles

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