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19th Annual Great Plains Operator Theory Symposium
May 26-30, 1999
Iowa State University
Ames, IA, USA

Organizers
Justin Peters, Yiu Tung Poon, Bruce Wagner

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K-theory and Quasidiagonality
by
Marius Dadarlat
Purdue University
Coauthors: Soren Eilers (University of Copenhagen)

We give a description of the Kasparov's group KK(A, B) using the notion of asymptotic unitary equivalence. This description is used in conjunction with techniques of relative quasidiagonality to interpolate the elements of KK(A, B) by approximate (or asymptotic) morphisms from A to matrices over B. Finally we indicate how these methods yield classification results for certain classes of nuclear C*-algebras of real rank zero. In particular we will revisit the classification theory of separable simple nuclear purely infinite algebras.

Date received: May 1, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacw-58.