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On the Commutant of Certain Automorphism Groups

Published online by Cambridge University Press:  20 November 2018

P. K. Tam
P. K. Tam*
Affiliation:
The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
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Let be a W*-algebra, A ( ) the group of all automorphisms of . In this paper we have determined the commutant G’ of a subgroup G of A () for certain classes of G and . The main results are as follows.

Theorem 1. If G is a locally compact abelian group acting by translation on the W*-algebra L∞(G), then the commutant of a dense subgroup of G is G itself.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 6 , December 1973 , pp. 1165 - 1169
Copyright
Copyright © Canadian Mathematical Society 1973

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