Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Invariant measures on locally compact semigroups

Author: Roger Rigelhof
Journal: Proc. Amer. Math. Soc. 28 (1971), 173-176
MSC: Primary 28.75; Secondary 42.00
MathSciNet review: 0277691
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The main result of this paper shows that a locally compact abelian semigroup is embeddable as an open subsemigroup of a locally compact abelian group $ G$ if and only if the translations $ x \mapsto x + y$ are open maps and there exists a nonnegative regular measure $ \mu $ on $ S$ such that $ \mu (U) = \mu (x + U) > 0$ for every open set $ U$ and $ x$ in $ S$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28.75, 42.00

Retrieve articles in all journals with MSC: 28.75, 42.00

Additional Information

PII: S 0002-9939(1971)0277691-3
Keywords: Invariant measures, Haar measures, locally compact abelian semigroups, topological semigroups
Article copyright: © Copyright 1971 American Mathematical Society