Entropy for canonical shifts

Author:
Marie Choda

Journal:
Trans. Amer. Math. Soc. **334** (1992), 827-849

MSC:
Primary 46L55; Secondary 46L35

DOI:
https://doi.org/10.1090/S0002-9947-1992-1070349-0

MathSciNet review:
1070349

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Abstract | References | Similar Articles | Additional Information

Abstract: For a -endomorphism of an injective finite von Neumann algebra , we investigate the relations among the entropy for , the relative entropy of for , the generalized index , and the index for subfactors. As an application, we have the following relations for the canonical shift for the inclusion of type II factors with the finite index ,

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DOI:
https://doi.org/10.1090/S0002-9947-1992-1070349-0

Article copyright:
© Copyright 1992
American Mathematical Society