Operator valued weights in von Neumann algebras,II |
| |
Authors: | Uffe Haagerup |
| |
Affiliation: | Matematisk Institut, Odense Universitet, Niels Bohrs Allé, DK-5230 Odense M, Denmark |
| |
Abstract: | Let M be a von Neumann algebra, and N a sub von Neumann algebra of M. We prove that if φ and ψ are n.f.s. weights on N and M respectively, such that σtψ extends σtφ, then there is a unique n.f.s. operator valued weight T from M to N, such that ψ = φ ° T. Moreover we generalize the notion of modular automorphism groups associated with conditional expectations to operator valued weights. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|