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Automorphisms of Full II1 Factors, II

Published online by Cambridge University Press:  20 November 2018

John Phillips
John Phillips*
Affiliation:
Department of Mathematics, Dalhousie University, Halifax, Nova Scotia
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The purpose of this note is to continue the author's study of the automorphisms of certain factors of type II1 Namely, those factors arising from the left regular representation of a free nonabelian group. Our main result shows that the outer conjugacy classes of automorphisms of such a factor are not countably separated. This had previously been shown only when the number of free generators was assumed to be infinite.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 3 , 01 September 1978 , pp. 325 - 328
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Connes, A., Almost periodic states and factors of type III1 J. Functional Analysis, 16 (1974), 415-445.Google Scholar
2. Dixmier, J. and Lance, E. C., Deux nouveaux facteurs de type II1, Inventiones math., 7 (1969), 226-234.Google Scholar
3. Haagerup, U., The standard form of von Neumann algebras, Math. Scand. 37 (1975), 271-283.Google Scholar
4. Kallman, R. R., A generalization of free action, Duke Math. J. 36 (1969), 781-789.Google Scholar
5. Kurosh, A. G., The Theory of Groups, vol. II, Chelsea, New York, 1956.Google Scholar
6. Mackey, G. W., Borel structure in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-165.Google Scholar
7. Murray, F. J. and Von Neumann, J., On rings of operators IV, Annals of Math. 44 (1943), 716-808.Google Scholar
8. Phillips, J., Automorphisms of full II1 factors, with applications to factors of type III, Duke Math. J. 43 (1976), 375-385.Google Scholar