Thematic Program on Operator Algebras and Applications
August 1, 1994 to March 31, 1995
Description
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.
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)
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)
Operator Algebras and Applications Graduate Student Seminar
April 24, 1995 -- Yasu Kawahigashi (University of Tokyo)
Introduction to Ocneanu's Paragroup Theory
Operator Algebras and Applications Special Seminar
June 8, 1995 -- Alan Carey (University of Adelaide)
Dixmier-Douady Classes, Bundle Gerbes and Anomalies
Operator Algebras and Applications Seminar Series
June 22, 1995 -- Huaxin Lin (University of Oregon)
Approximately Commuting Self-Adjoint Matrices
June 22, 1995 -- Carl Winsl�w (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 R�rdam (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 -- L�szl� Zsid� (University of Rome "Tor Vergata")
A Monotone Closure Property of Norm Closed Two-Sided Ideals in W*-algebras
May 4, 1995 -- L�szl� Zsid� (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 E0-semigroups
March 13, 1995 -- Roland Speicher (Institut f�r 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 -- S�ren 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 -- �yvind 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 R�rdam (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<cdata "∞"="">
July 14, 1994 -- Huaxin Lin (State University of New York, Buffalo)
Almost Commuting Unitaries and Classification of Even Cuntz-circle Algebras
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 Tn
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(T2) 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
