Entropy in type I algebras

Details Entropy in type I algebras Entropy in type I algebras

2000-02-10

arxiv.org/abs/math/0002081v1

Mathematics

Operator Algebras

LaTeX2e, 7 pages

Scientific paper

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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