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Some ergodic properties for infinite graphs associated with subfactors

Published online by Cambridge University Press:  14 October 2010

Sorin Popa
Sorin Popa
Affiliation:
Department of Mathematics, University of California, Los Angeles, CA 90024-1555, USA
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Abstract

We prove that the restriction of the graph of a subfactor, ΓN,M, to an infinite subset of vertices with finite boundary has the same norm as ΓN,W. In particular, if N φ M is extremal with [M : N] > 4 and ΓN,M has an A∞, tail then ΓN, M = A∞.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 5 , October 1995 , pp. 993 - 1003
Copyright
Copyright © Cambridge University Press 1995

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