Classification des facteurs. (French) Zbl 0503.46043

Connes, A.

Operator algebras and applications, Proc. Symp. Pure Math. 38, Part 2, Kingston/Ont. 1980, 43-109 (1982).

MSC:

46L35	Classifications of \(C^*\)-algebras
46L55	Noncommutative dynamical systems

Keywords:

amenable factors; rigid discrete groups; group von Neumann algebras; Tomita-Takesaki theory; type III factors; classification of factors of infinite tensor products of matrices; orbit equivalence of ergodic transformations; Borel transformation; amenability; Radon-Nikodym theorem for weights; automorphism groups of factors; crossed products; outer conjugacy; group of centrally trivial automorphisms; noncommutative Rokhlin theorem; noncommutative entropy; hyperfinite factor; injective factor; approximate finiteness; Takesaki’s duality theorem

Citations:

Zbl 0488.00012