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Which endomorphisms are isomorphic to Bernoulli endomorphisms
by
Chris Hoffman
University of Washington
Three results which followed Ornstein's isomorphism theory are the following. Compact extensions of Bernoulli automorphisms are Bernoulli automorphisms. Factors of Bernoulli automorphisms are Bernoulli automorphisms. And powers of Bernoulli automorphisms are Bernoulli automorphisms. I will discuss examples that show each of the three analogous statements are not true for Bernoulli endomorphisms.
Date received: March 11, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caep-17.