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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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Ideal Structure and Representation of l1-Munn Algebras and Semigroup Algebras
by
G. H. Esslamzadeh
Tehran Polytechnic University, Tehran, Iran

In this talk first we explain the ideal structure of l1-Munn algebras. This provides a description of Jacobson, prime and Brown McCoy radicals of these algebras. Then we construct *-representations of certain involutive l1-Munn algebras from those of their underlying algebras and we show that this construction keeps the type of representation.

Application of these results gives a description of the radicals of semigroup algebras of regular semigroups with a finite number of idempotents. This involves generalizations of some of the results of B. Barnes to noninverse semigroups.

(T)

Date received: November 30, 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-57.