Quantum Probability and Applications V pp 126-130 | Cite as
Stochastic transitions on preduals of von Neumann algebras
Conference paper
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Abstract
The aim of this note is to prove a result on canonical state extensions from a von Neumann subalgebra to a von Neumann algebra in which it is contained. In its light the notion of a stochastic coupling for von Neumann algebras as introduced by the first named author in [5] (cf. also [1]) and the notion of transition operators introduced by the second named author in [7] appear to be particular (indeed extreme) cases of a more general theory.
Keywords
Hilbert Space Closed Subspace Faithful Representation Quantum Probability Weak Operator
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Bibliography
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