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math-phMar 15, 2012
authors
  • Taku Matsui
  • Shigeru Yamagami
institutions
  • Kyushu University
  • Nagoya University
arXiv abstractPDF
paper

Kakutani Dichotomy on Free States

arXiv:1203.3581 · doi:10.1007/s11005-012-0579-0

Abstract

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

12 pages

References in corpus (3)

  • On the Algebra of Fluctuation in Quantum Spin Chains
  • Geometric Mean of States and Transition Amplitudes
  • Geometry of Quasi-Free States of CCR Algebras
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