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Products of Locally Compact Groups with Zero and Their Actions

Published online by Cambridge University Press:  20 November 2018

T. H. McH. Hanson
T. H. McH. Hanson*
Affiliation:
University of Florida, Gainesville, Florida
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In [4], Hofmann defines a locally compact group with zero as a Hausdorff locally compact topological semigroup, S, with a non-isolated point, 0, such that G = S — {0} is a group. He shows there that 0 is indeed a zero for 5, G is a locally compact topological group, and the identity of G is the identity of S. The author has investigated actions of such semigroups on locally compact spaces in [1; 2]. In this paper, we are investigating direct products of semigroups of the above type and actions of these products; for a special case of this, the reader is referred to [3].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 6 , December 1972 , pp. 1043 - 1051
Copyright
Copyright © Canadian Mathematical Society 1972

References

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