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On the Commutant of Certain Automorphism Groups
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1973
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