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Kakutani Dichotomy on Free States

Mathematical Physics 2012-10-09 v1 math.MP Operator Algebras

Abstract

Two quasi-free states on a CAR or CCR algebra are shown to generate quasi-equivalent representations unless they are disjoint.

Keywords

Cite

@article{arxiv.1203.3581,
  title  = {Kakutani Dichotomy on Free States},
  author = {Taku Matsui and Shigeru Yamagami},
  journal= {arXiv preprint arXiv:1203.3581},
  year   = {2012}
}

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12 pages