Title : ( invariant meant on the isometry semigroups of C*-algebras and Von Newmann algebras )
Authors: - - , Asadollah Niknam ,
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Abstract
Let A be a von Neumann algebra with isometry semigroup I, give I the relative ultraweak topology. Then I is a topological semigroup. It is known that A is amenable if and only if there exists a right invariant mean on LUC(I). We prove that A is amenable if and only if there exists a right invariant mean on WLUC(I), we also show that if A is a unital C * -algebra with isometry semigroup S, A is amenable if and only if there exists a right invariant mean on LUC(S).
Keywords
, Von Neumann , C*-algebras
@article{paperid:1050240,
author = { -, - and Niknam, Asadollah},
title = {invariant meant on the isometry semigroups of C*-algebras and Von Newmann algebras},
journal = {Indian Journal of Pure and Applied Mathematics},
year = {1999},
volume = {30},
number = {7},
month = {January},
issn = {0019-5588},
pages = {683--686},
numpages = {3},
keywords = {Von Neumann ; C*-algebras},
}
%0 Journal Article
%T invariant meant on the isometry semigroups of C*-algebras and Von Newmann algebras
%A -, -
%A Niknam, Asadollah
%J Indian Journal of Pure and Applied Mathematics
%@ 0019-5588
%D 1999
