Amenable subsemigroups of a locally compact group
HTML articles powered by AMS MathViewer
- by Joe W. Jenkins
- Proc. Amer. Math. Soc. 25 (1970), 766-770
- DOI: https://doi.org/10.1090/S0002-9939-1970-0263967-1
- PDF | Request permission
Abstract:
Let $G$ be an amenable locally compact group and $S$ an open subsemigroup of $G$. It is shown that $S$ is amenable if, and only if, the right ideals of $S$ have the finite intersection property.References
- Mahlon M. Day, Amenable semigroups, Illinois J. Math. 1 (1957), 509–544. MR 92128 A. H. Frey, Studies in amenable semigroups, Thesis, Univ. of Washington, Seattle, 1960.
- Frederick P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Mathematical Studies, No. 16, Van Nostrand Reinhold Co., New York-Toronto-London, 1969. MR 0251549
- Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. MR 551496
- M. Hochster, Subsemigroups of amenable groups, Proc. Amer. Math. Soc. 21 (1969), 363–364. MR 240223, DOI 10.1090/S0002-9939-1969-0240223-0
- I. Namioka, On certain actions of semi-groups on $L$-spaces, Studia Math. 29 (1967), 63–77. MR 223863, DOI 10.4064/sm-29-1-63-77
- Carroll Wilde and Klaus Witz, Invariant means and the Stone-Čech compactification, Pacific J. Math. 21 (1967), 577–586. MR 212552
- Klaus G. Witz, Applications of a compactification for bounded operator semigroups, Illinois J. Math. 8 (1964), 685–696. MR 178368
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 25 (1970), 766-770
- MSC: Primary 22.05; Secondary 22.20
- DOI: https://doi.org/10.1090/S0002-9939-1970-0263967-1
- MathSciNet review: 0263967