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All Ireland Algebra Days 2001
May 16-19, 2001
Queen's University Belfast
Belfast, Northern Ireland, UK

Organizers
Tom Laffey (Dublin), Des MacHale (Cork), Martin Mathieu (Belfast; Chair), Martin Newell (Galway)

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K_0 of Purely Infinite Simple Regular Rings
by
Enrique Pardo
Universidad de Cadiz
Coauthors: P. Ara (Universitat Autònoma de Barcelona, SPAIN), K. R. Goodearl (University of California at Santa Barbara, USA).

We generalize the notion of purely infinite simple C*-algebra to the context of unital rings, and we include a large supply of examples that lie in this class. We state some basic properties of purely infinite simple rings, specially those related to its K-theory. Then we introduce some new techniques for constructing purely infinite simple (von Neumann) regular rings, obtaining some examples with universal properties. We also show that some known examples are particular cases of our construction, and we compute its K-theoretical invariants.

Date received: February 22, 2001

Copyright © 2001 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 # cage-04.