Stenosis in dimension groups and AF C*-algebras.
Stochastic Banach principle in operator algebras
The classical Banach principle is an essential tool for the investigation of ergodic properties of Cesàro subsequences. The aim of this work is to extend the Banach principle to the case of stochastic convergence in operator algebras. We start by establishing a sufficient condition for stochastic convergence (stochastic Banach principle). Then we prove stochastic convergence for bounded Besicovitch sequences, and as a consequence for uniform subsequences.
Stochastic Dynamics of Quantum Spin Systems
We show that recently introduced noncommutative -spaces can be used to constructions of Markov semigroups for quantum systems on a lattice.
Strong Clustering in Type III Entropic K-Systems.
Strong mixing Markov semigroups on C₁ are meager
We show that the set of those Markov semigroups on the Schatten class ₁ such that in the strong operator topology , where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.
Strong Morita Equivalence of Certain Transformation Group C*-Algebras.
Strongly finite von Neumann algebras.
Structure of the predual of a JBW*-triple.
Strucutre and representations of noncommutative C*-Jordan algebras.
Subadditive measures on projectors of a von Neumann algebra [Book]
Subalgebras of a Finite Algebra.
Subalgebras of groupoid C*-algebras.
Subharmonicity in von Neumann algebras
Let ℳ be a von Neumann algebra with unit . Let τ be a faithful, normal, semifinite trace on ℳ. Given x ∈ ℳ, denote by the generalized s-numbers of x, defined by = inf||xe||: e is a projection in ℳ i with ≤ t (t ≥ 0). We prove that, if D is a complex domain and f:D → ℳ is a holomorphic function, then, for each t ≥ 0, is a subharmonic function on D. This generalizes earlier subharmonicity results of White and Aupetit on the singular values of matrices.
Subproduct systems.
Subspace Weyl-Heisenberg Frames.
Subtriviality of continuous fields of nuclear C*-algebras.
Sums of commutators in ideals and modules of type II factors
Let be a factor of type II or II having separable predual and let be the algebra of affiliated -measurable operators. We characterize the commutator space for sub-- bimodules and of .
Supporting sequences of pure states on JB algebras
We show that any sequence of mutually orthogonal pure states on a JB algebra A such that forms an almost discrete sequence in the relative topology induced by the primitive ideal space of A admits a sequence consisting of positive, norm one, elements of A with pairwise orthogonal supports which is supporting for in the sense of for all n. Moreover, if A is separable then can be taken such that is uniquely determined by the biorthogonality condition . Consequences of this result improving...
Sur la forte -moyennabilité d’un groupoïde
Sur le type du produit croisé d'une algèbre de von Neumann par un groupe localement compact