Ergodic Theory and Dynamical Systems

Research Article

Some ergodic properties for infinite graphs associated with subfactors

Sorin Popaa1

a1 Department of Mathematics, University of California, Los Angeles, CA 90024-1555, USA

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∞.

(Received June 06 1994)