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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Inner invariant means
and conjugation operators

Author: Yuji Takahashi
Journal: Proc. Amer. Math. Soc. 124 (1996), 193-196
MSC (1991): Primary 43A07, 43A15
MathSciNet review: 1307568
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Abstract: It is shown that Paschke's result cannot be generalized to the [IN]-group setting given by Lau and Paterson. This resolves negatively a problem raised by Lau and Paterson.

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Additional Information

Yuji Takahashi
Affiliation: Department of Mathematics, Hokkaido University of Education, Hakodate, Hachiman-cho, Hakodate, 040 Japan

PII: S 0002-9939(96)03201-7
Keywords: [IN]-groups, inner invariant means, amenability, free groups, $C^*$-algebras
Received by editor(s): July 29, 1994
Dedicated: Dedicated to Professor Satoru Igari on his sixtieth birthday
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1996 American Mathematical Society

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