Entropy in type I algebras
Operator Algebras
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0002081,
title = {Entropy in type I algebras},
author = {Sergey Neshveyev and Erling Stormer},
journal= {arXiv preprint arXiv:math/0002081},
year = {2007}
}
Comments
LaTeX2e, 7 pages