On the Isomorphism Problem of {\bf p}-Endomorphisms

Mathematics – Dynamical Systems

Scientific paper

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78 pages, Ph.D. thesis, University of Toronto, accepted March 10 2003

Scientific paper

This thesis extends the Hoffman-Rudolph tvwB criterion defined for uniformly
p-to-1 endomorphisms to show that it still gives a sufficient condition for a
given $\bf p$-endomorphism to be one-sided Bernoulli. We also prove that given
any two tvwB group extensions of the one-sided $\bf p$-shift, we can find an
isomorphism preserving the natrual $\mathbb N \times G$-actions.

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