The exact cardinality of the set of invariant means on a group

Ching Chou

doi:10.1090/S0002-9939-1976-0394036-3

The exact cardinality of the set of invariant means on a group

Ching Chou

Mathematics

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

The purpose of this note is to show that if G is an infinite amenable group then G has exactly 2^2│G│ invariant means where │G│ denotes the cardinality of G.

Original language	English
Pages (from-to)	103-106
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	55
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1976-0394036-3
State	Published - Feb 1976

Keywords

Amenable groups
Cardinalities
Invariant means

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10.1090/S0002-9939-1976-0394036-3

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abstract = "The purpose of this note is to show that if G is an infinite amenable group then G has exactly 22│G│ invariant means where │G│ denotes the cardinality of G.",

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AB - The purpose of this note is to show that if G is an infinite amenable group then G has exactly 22│G│ invariant means where │G│ denotes the cardinality of G.

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KW - Invariant means

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The exact cardinality of the set of invariant means on a group

Abstract

Keywords

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