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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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Contractible locally C*-algebras
by
Maria Fragoulopolou
University of Athens

A locally C*-algebra is an inverse limit of C*-algebras. Such an algebra A, with unit, is called contractible if as an A-bimodule it is projective. It is known that the cartesian product of an arbitrary family of full matrix algebras is contractible. We prove (a conjecture of A.Ya. Helemskii) that the converse is also true; that is, a locally C*-algebra is contractible iff it is topologically isomorphic to a cartesian product of a family of full matrix algebras.

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Date received: October 26, 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 # cado-12.