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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Inner invariant means and conjugation operators

Author(s): Yuji Takahashi
Journal: Proc. Amer. Math. Soc. 124 (1996), 193-196.
MSC (1991): Primary 43A07, 43A15
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Abstract | References | Similar articles | Additional information

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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W. L. Paschke, Inner amenability and conjugation operators, Proc. Amer. Math. Soc. 71 (1978), 117--118. MR 57:13508

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Additional Information:

Yuji Takahashi
Affiliation: Department of Mathematics, Hokkaido University of Education, Hakodate, Hachiman-cho, Hakodate, 040 Japan
Email: ytakahas@hak.hokkyodai.ac.jp

DOI: 10.1090/S0002-9939-96-03201-7
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
Copyright of article: Copyright 1996, American Mathematical Society


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