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Maximal Abelian Subalgebras of the Hyperfinite Factor,Entropy and Ergodic Theory
Authors:S.?Neshveyev  author-information"  >  author-information__contact u-icon-before"  >  mailto:sergeyn@math.uio.no"   title="  sergeyn@math.uio.no"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,E.?St?rmer
Affiliation:(1) Department of Mathematics, University of Oslo, P. O. Box 1053, Blindern, N-0316 Oslo, Norway, E-mail: sergeyn@math.uio.no, NO
Abstract:Given a free ergodic action of a discrete abelian group G on a measure space (X, μ), the crossed product L (X, μ)⋊ G contains two distinguished maximal abelian subalgebras. We discuss what kind of information about the action can be extracted from the positions of these two subalgebras inside the crossed product algebra. Received February 24, 2002, Accepted August 5, 2002
Keywords:Hyperfinite facter   Maximal abelian subalgebra   Dynamical system   Entropy
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