UHF flows and the flip automorphism

@article{Kishimoto2001UHFFA,
  title={UHF flows and the flip automorphism},
  author={A. Kishimoto},
  journal={Reviews in Mathematical Physics},
  year={2001},
  volume={13},
  pages={1163-1181}
}
  • A. Kishimoto
  • Published 2001
  • Mathematics, Physics
  • Reviews in Mathematical Physics
    • A UHF algebra is a C*-algebra A of the type for some sequence (ni) with ni≥2, where Mn is the algebra of n×n matrices, while a UHF flow α is a flow (or a one-parameter automorphism group) on the UHF algebra A obtained as , where for some . This is the simplest kind of flows on the UHF algebra we could think of; yet there seem to have been no attempts to characterize the cocycle conjugacy class of UHF flows so that we might conclude, e.g., that the non-trivial quasi-free flows on the CAR algebra… CONTINUE READING
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    • 61
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    • 9
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    • 8
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    • 4
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    References

    SHOWING 1-10 OF 13 REFERENCES
    Applications of the Connes Spectrum to C∗-dynamical systems, III
    • 97
    • Highly Influential
    Examples of One-Parameter Automorphism Groups¶of UHF Algebras
    • 15
    • PDF
    The Rohlin Property for Shifts on UHF Algebras and Automorphisms of Cuntz Algebras
    • 92
    On the classification of C*-algebras of real rank zero.
    • 368
    Locally representable one-parameter automorphism groups of AF algebras and KMS states
    • 25
    The Crossed Product of a UHF algebra by a Shift
    • 50
    • PDF
    Trace scaling automorphisms of certain stable AF algebras
    • 56
    • PDF
    Classification of simple C*-algebras of tracial topological rank zero
    • 157
    • PDF
    Operator algebras in dynamical systems
    • 207
    • Highly Influential
    • PDF
    The Rohlin property for automorphisms of UHF algebras
    • 121
    • PDF