Takesaki's duality theorem and continuous decomposition for real factors of type III

Annotatsiya

Let be a real von Neumann algebra, and let be the least von Neumann algebra generated by . We consider crossed products of and strongly continuous actions of commutative locally compact groups of -automorphisms of . We study the real structure in the von Neumann algebras dual to (in the sense of the Takesaki duality for crossed products). We obtain a theorem on the continuous decomposition of real factors of type III.

Mavzular

Identifikatorlar

DOI

10.1070/im2000v064n04abeh000300

Iqtiboslar va manbalar