Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-26T07:27:41.802Z Has data issue: false hasContentIssue false

Uniform boundedness for non-abelian groups

Published online by Cambridge University Press:  24 October 2008

Martin Moskowitz
Affiliation:
Graduate Center, City University, New York, NY 10036, U.S.A.

Extract

In this note we will prove a number of facts which generalize to various non-abelian groups some results of Glicksberg[2]. In the non-abelian form they will have application to certain results of the author on the 2 dimensional continuous cohomology associated with central extensions [6].

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1985

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Gaal, S. A.. Linear Analysis and Representation Theory (Springer-Verlag, 1973).CrossRefGoogle Scholar
[2]Glicksberg, I.. Uniform boundedness for groups. Canad. J. Math. 14 (1962), 269276.CrossRefGoogle Scholar
[3]Glušrov, V. M.. The structure of locally compact groups and Hilbert's Fifth Problem. Amer. Math. Soc. Transl. (2) 15 (1960), 5593.Google Scholar
[4]Hochschild, G.. The automorphism group of a Lie group. Trans. Amer. Math. Soc. 72 (1952), 209216.Google Scholar
[5]Moskowitz, M.. Homological algebra in locally compact abelian groups. Trans. Amer. Math. Soc. 127 (1967), 361404.CrossRefGoogle Scholar
[6]Moskowitz, M.. Bilinear forms and 2-dimensional cohomology (to appear).Google Scholar
[7]Naimark, M. A.. Normed Rings (Noordhoff, 1959).Google Scholar
[8]Pontrjagin, L. S.. Topological Groups, 2nd ed. (Gordon and Breach, 1966).Google Scholar