Isomorphism and embedding of Borel systems on full sets

Details Isomorphism and embedding of Borel systems on full sets Isomorphism and embedding of Borel systems on full sets

2010-08-20

arxiv.org/abs/1008.3549v1

Mathematics

Dynamical Systems

17 pages

Scientific paper

A Borel system consists of a measurable automorphism of a standard Borel space. We consider Borel embeddings and isomorphisms between such systems modulo null sets, i.e. sets which have measure zero for every invariant probability measure. For every t>0 we show that in this category there exists a unique free Borel system (Y,S) which is strictly t-universal in the sense that all invariant measures on Y have entropy

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