Articles

A CHARACTERIZATION OF LOCALLY COMPACT INNER AMENABLE GROUPS

  • Ali Ghaffari
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  • Department of Mathematics, Semnan University, Semnan, Iran

Received date: 2005-12-10

  Revised date: 2006-05-21

  Online published: 2008-07-20

Abstract

For locally compact groups G, Kuan Yuan studied a notion of inner amenability groups, that is, if there exists an inner invariant mean on G. In this article, among other things, the author investigates the inner amenability on a locally compact group G. The author gives sufficient conditions and some necessary conditions about G to have an inner invariant mean.

Cite this article

Ali Ghaffari . A CHARACTERIZATION OF LOCALLY COMPACT INNER AMENABLE GROUPS[J]. Acta mathematica scientia, Series B, 2008 , 28(3) : 588 -594 . DOI: 10.1016/S0252-9602(08)60061-2

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