Geodesic
Relatively perfect σ-algebras for flows
Studia Mathematica, Tome 114 (1995) no. 1, pp. 71-85

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-114-1-71-85
Keywords: entropy, flow, principal factor, relatively excellent σ-algebra, relatively perfect σ-algebra

F. Blanchard 1

1 
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F. Blanchard. Relatively perfect σ-algebras for flows. Studia Mathematica, Tome 114 (1995) no. 1, pp. 71-85. doi: 10.4064/sm-114-1-71-85

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