Relatively perfect σ-algebras for flows

Blanchard, F.; Kamiński, B.

Studia Mathematica, Tome 113 (1995), p. 71-85 / Harvested from The Polish Digital Mathematics Library

Résumé

We show that for every ergodic flow, given any factor σ-algebra ℱ, there exists a σ-algebra which is relatively perfect with respect to ℱ. Using this result and Ornstein's isomorphism theorem for flows, we give a functorial definition of the entropy of flows.

Publié le : 1995-01-01

Zbl 0836.28009

EUDML-ID : urn:eudml:doc:216180

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     author = {F. Blanchard and B. Kami\'nski},
     title = {Relatively perfect $\sigma$-algebras for flows},
     journal = {Studia Mathematica},
     volume = {113},
     year = {1995},
     pages = {71-85},
     zbl = {0836.28009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv114i1p71bwm}
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Blanchard, F.; Kamiński, B. Relatively perfect σ-algebras for flows. Studia Mathematica, Tome 113 (1995) pp. 71-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv114i1p71bwm/

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