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Topological Left Amenability of Semidirect Products

Published online by Cambridge University Press:  20 November 2018

H. D. Junghenn
H. D. Junghenn*
Affiliation:
The George Washington Universtiy, Washington, D.C. 20052U.S.A.
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Abstract

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Let S and T be locally compact topological semigroups and a semidirect product. Conditions are determined under which topological left amenability of S and T implies that of , and conversely. The results are used to show that for a large class of semigroups which are neither compact nor groups, various notions of topological left amenability coincide.

Keywords

43A0743A10Locally compact topological semigrouptopological left invariant meansemidirect productwreath product
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 1 , 01 March 1981 , pp. 79 - 85
Copyright
Copyright © Canadian Mathematical Society 1981

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