A note on quasi-similarity of Koopman operators

Details A note on quasi-similarity of Koopman operators A note on quasi-similarity of Koopman operators

2009-03-18

arxiv.org/abs/0903.3109v2

Mathematics

Dynamical Systems

15 pages

Scientific paper

Answering a question of A. Vershik we construct two non-weakly isomorphic
ergodic automorphisms for which the associated unitary (Koopman)
representations are Markov quasi-similar. We also discuss metric invariants of
Markov quasi-similarity in the class of ergodic automorphisms.

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