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Amenability and Substantial Semigroups

Published online by Cambridge University Press:  20 November 2018

James C. S. Wong
James C. S. Wong*
Affiliation:
Department of Mathematics, Statistics & Computing Science, University of Calgary, Calgary, Alberta
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Abstract

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In this paper, we introduce the concept of topological left substantial subsemigroup of a locally compact semigroup S and prove that if T is such a subsemigroup in S and M(T) is the measure algebra of T, then M(T)* is topological left amenable iff M(S)* is topological left amenable, an extension of a similar result for discrete semigroups.

Keywords

22.0522.242.542.56Locally compact semigroupsMeasure algebrasTopological left invariant meansLeft substantial semigroupsLeft ideals
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 2 , 01 June 1976 , pp. 231 - 234
Copyright
Copyright © Canadian Mathematical Society 1976

Footnotes

(1)

Research supported by the National Research Council of Canada Grant No. A8227.

References

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