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Minimal ideals in group algebras and their biduals

Published online by Cambridge University Press:  24 October 2008

J. W. Baker  and
M. Filali
J. W. Baker
Affiliation:
School of Mathematics & Statistics, University of Sheffield, Sheffield S3 7RH
M. Filali
Affiliation:
Department of Mathematics, University of Oulu, Oulu 90570, Finland
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Abstract

Let G be a locally compact group and F a left introverted subalgebra of C(G). For each of the algebras L1(G), M(G), F* and L∞(G)* we determine the finite-dimensional minimal left ideals of the algebra (if any); in some cases we also determine the finite-dimensional minimal two-sided ideals, and in certain cases show that all minimal ideals of the algebra are finite-dimensional.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 3 , October 1996 , pp. 475 - 488
Copyright
Copyright © Cambridge Philosophical Society 1996

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