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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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On some ideal structure of the second conjugate of a group algebra with an Arens product
by
Mahmoud Filali
Department of Mathematical Sciences, University of Oulu, Finland

Let G be a non-compact locally compact group, L1(G) be its group algebra, LUC(G) be the space of bounded functions on G which are uniformly continuous with respect to the right uniformity on G. Let L1(G)** be the second conjugate of L1(G) with the first Arens product and LUC(G)* be the conjugate of the space LUC(G) with the first Arens-type product.

We report in particular on the following results in these algebras:

1. In general the dimension of any non-zero right ideal is infinite. This result was known only for the radicals.

2. We construct new elements in the radicals.

(T)

Date received: April 15, 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 # caey-73.