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Nombres normaux

Anne Bertrand-Mathis (1996)

Journal de théorie des nombres de Bordeaux

Nous rassemblons divers résultats sur les nombres normaux et en déduisons de nouveaux résultats.

Noncommutative Poincaré recurrence theorem

Andrzej Łuczak (2001)

Colloquium Mathematicae

Poincaré’s classical recurrence theorem is generalised to the noncommutative setup where a measure space with a measure-preserving transformation is replaced by a von Neumann algebra with a weight and a Jordan morphism leaving the weight invariant. This is done by a suitable reformulation of the theorem in the language of L -space rather than the original measure space, thus allowing the replacement of the commutative von Neumann algebra L by a noncommutative one.

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