A Characterization of the State Space of Quantum Mechanics
A note on states of von Neumann algebras
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.
A survey on representations of the unitary group U(∞)
Action moyennable d'un groupe localement compact sur une algebre de von Neumann.
Affine semigroups and second duals.
An abstract characterization of ...-conditional expectations.
algebras associated with von Neumann algebras
Ad un'algebra di von Neumann separabile , in forma standard su di uno spazio di Hilbert , si associa la algebra definita come la algebra costituita dai punti fissi dell'algebra di Cuntz generalizzata mediante l'azione canonica del gruppo degli unitari di . Si dà una caratterizzazione di nel caso in cui è un fattore iniettivo. In seguito, come applicazione della teoria dei sistemi asintoticamente abeliani, si mostra che, se è uno stato vettoriale normale e fedele di , la restrizione...
C*-algebraic generalization of relative entropy and entropy
Cebysev subspaces of C*-algebras.
Centrally determined states on von Neumann algebras
It is shown that every von Neumann algebra whose centre determines the state space is already abelian.
Chain rules for canonical state extensions on von Neumann algebras
In previous papers we introduced and studied the extension of a state defined on a von Neumann subalgebra to the whole of the von Neumann algebra with respect to a given state. This was done by using the standard form of von Neumann algebras. In the case of the existence of a norm one projection from the algebra to the subalgebra preserving the given state our construction is simply equivalent to taking the composition with the norm one projection. In this paper we study couples of von Neumann subalgebras...
Coherent and quasi-free states
Comparision of states and Darboux-type properties in von Neumann algebras.
Entropy estimates for finitely correlated states
Equivalent Conditions for the General Stone-Weierstrass Problem.
Erratum to "Tracial states on crossed products associated with Furstenberg transformations on the 2-torus" (Studia Math. 115 (1995), 183-187)
États quasi-libres libres et facteurs de type III
Les états quasi-libres sur l’algèbre des relations d’anticommutation canoniques donnent lieu à des représentations qui engendrent les facteurs moyennables d’Araki et Woods. Dans le cadre des probabilités libres de Voiculescu, Shlyakhtenko a trouvé un analogue libre de ces facteurs Araki-Woods. La construction de Shlyakhtenko part d’un groupe à un paramètre de transformations orthogonales d’un espace de Hilbert réel. Les facteurs associés fournissent une richesse de nouveaux exemples de facteurs...
Extreme positive functionals
Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.
Group -algebras as compact quantum metric spaces.