Contents
Introduction 1
1. Operator Algebras and Dynamical Systems 3
2. Cohomology of Equivalence Relations 18
3. Rokhlin's Lemma and Asymptotic Invariance 36
4. Dimension 43
5. Markov Shifts in Higher Dimensions 55
6. Markov Shifts and Markov Groups 64
7. The Dynamics of Abelian Markov Groups 67
References 79
Notation 87
Index 91
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