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Mathematics > Operator Algebras

arXiv:math/0002081 (math)
[Submitted on 10 Feb 2000]

Title:Entropy in type I algebras

Authors:Sergey Neshveyev, Erling Stormer
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Abstract: It is shown that if (M,phi,alpha) is a W*-dynamical system with M a type I von Neumann algebra then the entropy of alpha w.r.t. phi equals the entropy of the restriction of alpha to the center of M. If furthermore (N,psi,beta) is a W*-dynamical system with N injective then the entropy of the tensor product system is the sum of the entropies.
Comments: LaTeX2e, 7 pages
Subjects: Operator Algebras (math.OA)
MSC classes: 46L55
Cite as: arXiv:math/0002081 [math.OA]
  (or arXiv:math/0002081v1 [math.OA] for this version)
  https://doi.org/10.48550/arXiv.math/0002081

Submission history

From: Sergiy V. Neshveyev [view email]
[v1] Thu, 10 Feb 2000 19:58:23 UTC (7 KB)
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