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Operator algebras and the conjugacy of transformations. II


Authors: Don Hadwin and T. B. Hoover
Journal: Proc. Amer. Math. Soc. 106 (1989), 365-369
MSC: Primary 46L55; Secondary 28D05, 46J35, 47D25, 47D30
DOI: https://doi.org/10.1090/S0002-9939-1989-0949877-7
MathSciNet review: 949877
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that two automorphisms of $ {L^\infty }$-spaces are conjugate if and only if certain related operator algebras are algebraically isomorphic. This extends a result of W. Arveson by dropping the assumptions that the automorphisms are ergodic and measure-preserving.


References [Enhancements On Off] (What's this?)

  • [1] W. B. Arveson, Operator algebras and measure preserving automorphisms, Acta Math. 118 (1967), 95-109. MR 0210866 (35:1751)
  • [2] W. B. Arveson and K. B. Josephson, Operator algebras and measure preserving automorphisms II, J. Funct. Anal. 4 (1969), 100-134. MR 0250081 (40:3322)
  • [3] D. W. Hadwin and T. B. Hoover, Operator algebras and the conjugacy of transformations, J. Funct. Anal. 77 (1988), 112-122. MR 930394 (89e:47069)
  • [4] J. Peters, Semi-crossed products of $ {C^*}$-algebras, J. Funct. Anal. 59 (1984), 498-534. MR 769379 (86e:46063)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0949877-7
Keywords: Conjugacy, measure-preserving, aperiodic $ n$-periodic, masa, conjugacy algebra, semicrossed product, operator algebra
Article copyright: © Copyright 1989 American Mathematical Society

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