Certain semigroups embeddabable in topological groups

Journal of the Australian Mathematical Society

Heneri A. M. Dzinotyiweyi¹ 

关键词: 22 A 20;    43 A 05;   

DOI  :  10.1017/S1446788700017584

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper we study commutative topological semigroups S admitting an absolutely continuous measure. When S is cancellative we show that S admits a weaker topology J with respect to which (S, J) is embeddable as a subsemigroup with non-empty interior in some locally compact topological group. As a consequence, we deduce certain results related to the existence of invariant measures on S and for a large class of locally compact topological semigroups S, we associate S with some useful topological subsemigroup of a locally compact group.

【 授权许可】

Unknown