Operator algebras and the conjugacy of transformations. II
HTML articles powered by AMS MathViewer
- by Don Hadwin and T. B. Hoover PDF
- Proc. Amer. Math. Soc. 106 (1989), 365-369 Request permission
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
- William B. Arveson, Operator algebras and measure preserving automorphisms, Acta Math. 118 (1967), 95–109. MR 210866, DOI 10.1007/BF02392478
- William B. Arveson and Keith B. Josephson, Operator algebras and measure preserving automorphisms. II, J. Functional Analysis 4 (1969), 100–134. MR 0250081, DOI 10.1016/0022-1236(69)90025-1
- Donald W. Hadwin and Thomas B. Hoover, Operator algebras and the conjugacy of transformations, J. Funct. Anal. 77 (1988), no. 1, 112–122. MR 930394, DOI 10.1016/0022-1236(88)90080-8
- Justin Peters, Semicrossed products of $C^\ast$-algebras, J. Funct. Anal. 59 (1984), no. 3, 498–534. MR 769379, DOI 10.1016/0022-1236(84)90063-6
Additional Information
- © Copyright 1989 American Mathematical Society
- 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