Centrally determined states on von Neumann algebras
Jan Hamhalter (1992)
Mathematica Bohemica
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It is shown that every von Neumann algebra whose centre determines the state space is already abelian.
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Centrally determined states on von Neumann algebras
Orthogonal scalar products on von Neumann algebras
Stanisław Goldstein (1984)
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A note on states of von Neumann algebras
Allah-Bakhsh Thaheem (1979)
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The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
On the extension problem for unbounded measures on projections
G. D. Lugovaya, A. N. Sherstnev (2000)
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Markovian processes on mutually commuting von Neumann algebras
Carlo Cecchini (1998)
Banach Center Publications
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The aim of this paper is to study markovianity for states on von Neumann algebras generated by the union of (not necessarily commutative) von Neumann subagebras which commute with each other. This study has been already begun in [2] using several a priori different notions of noncommutative markovianity. In this paper we assume to deal with the particular case of states which define odd stochastic couplings (as developed in [3]) for all couples of von Neumann algebras involved. In this...