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Entropy in type I algebras

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.

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Sergey Neshveyev, Erling Stormer. 2000-02-10. Entropy in type I algebras. https://doi.org/10.2140/pjm.2001.201.421

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