Locally compact groups which are amenable as discrete groups

Ching Chou

doi:10.1090/S0002-9939-1979-0534389-9

Locally compact groups which are amenable as discrete groups

Ching Chou

Mathematics

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4 Scopus citations

Abstract

In the courses of their independent studies of the existence of invariant means which are not topologically invariant, E. Granirer and W. Rudin have considered several properties of a locally compact group G which are satisfied if G is amenable as a discrete group. By applying a result of J. Rosenblatt (together with ideas of Granirer and Rudin) we show some of these properties on G imply that G is amenable as a discrete group.

Original language	English
Pages (from-to)	46-50
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	76
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1979-0534389-9
State	Published - Aug 1979

Keywords

Bounded borel function
Compact group
Invariant mean
Locally compact amenable group
Topologically invariant mean

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10.1090/S0002-9939-1979-0534389-9

Cite this

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AB - In the courses of their independent studies of the existence of invariant means which are not topologically invariant, E. Granirer and W. Rudin have considered several properties of a locally compact group G which are satisfied if G is amenable as a discrete group. By applying a result of J. Rosenblatt (together with ideas of Granirer and Rudin) we show some of these properties on G imply that G is amenable as a discrete group.

KW - Bounded borel function

KW - Compact group

KW - Invariant mean

KW - Locally compact amenable group

KW - Topologically invariant mean

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Locally compact groups which are amenable as discrete groups

Abstract

Keywords

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