Minimal ideals in group algebras and their biduals-Reference-Cited by-同舟云学术

Minimal ideals in group algebras and their biduals

Published:1996-10 Issue:3 Volume:120 Page:475-488
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Baker J. W.,Filali M.

Abstract

AbstractLetGbe a locally compact group andFa left introverted subalgebra ofC(G). For each of the algebrasL1(G),M(G),F* andL∞(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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. The ideal structure of some Banach algebras

2. Compact semigroups with one-sided continuity;Pym;The analytical and topological theory of semigroups,1990

3. Complete Normed Algebras

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