Noncommutative Poincaré recurrence theorem

• Autorzy: Andrzej Łuczak
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L51: Noncommutative measure and integration
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 89
• Numer: 1
• Strony: 1-6

Daty

wydano

2001

Twórcy

autor

Andrzej Łuczak

• Faculty of Mathematics, Łódź University, Stefana Banacha 22, 90-238 Łódź Poland

Identyfikatory

DOI

10.4064/cm89-1-1