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Entropy in type I algebras

算子代数 2007-05-23 v1

摘要

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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引用

@article{arxiv.math/0002081,
  title  = {Entropy in type I algebras},
  author = {Sergey Neshveyev and Erling Stormer},
  journal= {arXiv preprint arXiv:math/0002081},
  year   = {2007}
}

备注

LaTeX2e, 7 pages