Radu B. Munteanu: Nonsingular automorphisms with AT$(k)$ flows, p. 79-89

Abstract:

In this paper we show that any nonsingular automorphism having an AT($k$) associated flow is orbit equivalent to a Markov odometer defined on an essentially simple ordered Bratteli diagram with $k$ vertices at each level.

Key Words: approximate transitivity, AT$(k)$, hyperfinite equivalence relation, associated flow, Markov odometer, adic transformation

2010 Mathematics Subject Classification: Primary 37A35,
Secondary 37A20, 37A40, 46L36