NDLI: Inner Amenable Locally Compact Groups

Content Provider	Scilit
Author	Lau, Anthony To Ming Paterson, Alan L. T.
Copyright Year	1991
Description	In this paper we study the relationship between amenability, inner amenability and property of a von Neumann algebra. We give necessary conditions on a locally compact group to have an inner invariant mean such that for some compact neighborhood of invariant under the inner automorphisms. We also give a sufficient condition on (satisfied by the free group on two generators or an I.C.C. discrete group with Kazhdan's property , e.g., , ) such that each linear form on which is invariant under the inner automorphisms is continuous. A characterization of inner amenability in terms of a fixed point property for left Banach -modules is also obtained.
Related Links	https://www.ams.org/tran/1991-325-01/S0002-9947-1991-1010885-5/S0002-9947-1991-1010885-5.pdf
Ending Page	169
Page Count	15
Starting Page	155
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/2001664
Journal	Transactions of the American Mathematical Society
Issue Number	1
Volume Number	325
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Amenable Locally Compact Groups
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Inner Amenable Locally Compact Groups