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On the Non-Isomorphism of and

Published online by Cambridge University Press:  20 November 2018

James A. Mingo
James A. Mingo*
Affiliation:
Department of Mathematics and Statistics Queen's University Kingston, Ontario, K7L 3N6
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Abstract

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We show that for a discrete ICC group G, which is not inner amenable and is such that has a weakly outer automorphism, is not isomorphic to .

Keywords

47A60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 264 - 267
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Bédos, E. and de la Harpe, P., Moyennabilité Intérieure des Groupes: Définitions et Exemples, L'Enseignment Mathématique, 32 (1986), 139–157.Google Scholar
2. Cormes, A., Classification of Injective Factors, Ann. of Math., 104 (1976), 73–115.Google Scholar
3. Dixmier, J., C*-algebras, Amsterdam, North Holland, 1977.Google Scholar
4. Effros, E. G., Property T and inner amenability, Proc. Amer. Math. Soc, 47 (1975), 483–486.Google Scholar
5. Greenleaf, F. P., Invariant Means on Topological Groups, New York, van Nostrand-Reinhold, 1969.Google Scholar
6. Paschke, W. L., Inner Amenability and Conjugation Operators, Proc. Amer. Math. Soc, 71 (1978), 117–118.Google Scholar
7. Takesaki, M., On the Cross Norm of the Direct Product of C*-algebras, Töhoku Math. J., 16 (1964), 111–122.Google Scholar
8. Takesaki, M., Theory of Operator Algebras I, New York, Springer-Verlag, 1979.Google Scholar