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Entropy in type I
algebras
Sergey Neshveyev and Erling Størmer |
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Vol. 201 (2001), No. 2, 421–428
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Abstract |
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It is shown that if (M,ϕ,α) is a W∗-dynamical system with M a type I von Neumann algebra then the entropy of α w.r.t. ϕ equals the entropy of the restriction of α to the center of M. If furthermore (N,ψ,β) is a W∗-dynamical system with N injective then hϕ⊗ψ(α ⊗ β) = hϕ(α) + hψ(β). |
Milestones
Received: 31 January 2000
Published: 1 December 2001
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Authors |
| Sergey Neshveyev | |
| B. Verkin Institute for Low
Temperature Physics and Engineering National Academy of Sciences of Ukraine, 47, Lenin Ave. 310164, Kharkov Ukraine |
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| Erling Størmer | |
| Department of Mathematics University of Oslo P.O. Box 1053 Blindern, 0316 Oslo Norway |
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