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Amenability of inverse semigroups and their semigroup algebras*

Published online by Cambridge University Press:  14 November 2011

J. Duncan  and
I. Namioka
J. Duncan
Affiliation:
Department of Mathematics, University of Stirling
I. Namioka
Affiliation:
University of Washington, Seattle, U.S.A.
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Synopsis

If G is a group, then G is amenable as a semigroup if and only if l1(G), the group algebra, is amenable as an algebra. In this note, we investigate the relationship between these two notions of amenability for inverse semigroups S. A complete answer can be given in the case where the set Es of idempotent elements of S is finite. Some partial results are obtained for inverse semigroups S with infinite Es.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 80 , Issue 3-4 , 1978 , pp. 309 - 321
Copyright
Copyright © Royal Society of Edinburgh 1978

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