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18th International Conference on Operator Theory
June 27 - July 1, 2000
University of the West
Timisoara, Romania

Organizers
Dumitru Gaspar, Traian Ceausu, Aurelian Craciunescu, Aurelian Gheondea, Radu-Nicolae Gologan, Ciprian Pop, Dan Popovici, Nicolae Suciu, Alexandru Terescenco, Dan Timotin, Flavius Turcu

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Algebraic structures determined by 3 by 3 matrix geometry
by
Martin Walter
University of Colorado

Using a ``3 by 3 matrix trick'' we show that multiplication in a C*-algebra, A, an algebraic structure, is determined by the geometry, that is, order structure, of the C*-algebra of 3 by 3 matrices with entries from A. Applications of this algebra-geometry duality are proposed.

Date received: May 22, 2000

Copyright © 2000 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 # caeo-24.