Approximately transitive flows and ITPFI factors
| Autor: | E. J. Woods, Alain Connes |
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| Rok vydání: | 1985 |
| Předmět: | |
| Zdroj: | Ergodic Theory and Dynamical Systems. 5:203-236 |
| ISSN: | 1469-4417 0143-3857 |
| Popis: | We define a new property of a Borel group action on a Lebesgue measure space, which we call approximate transitivity. Our main results are (i) a type III0 hyperfinite factor is ITPFI if and only if its flow of weights is approximately transitive, and (ii) for ergodic transformations preserving a finite measure, approximate transitivity implies zero entropy. |
| Databáze: | OpenAIRE |
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