Saturated Actions of Finite Dimensional Hopf *-Algebras on C*-Algebras.
Scaling algebras in local relativistic quantum physics.
Scattered C*-algebras.
Scattered C*-algebras II.
Schur algebras over -algebras.
Schur and operator multipliers
The present article is a survey of known results on Schur and operator multipliers. It starts with the classical description of Schur multipliers due to Grothendieck, followed by a discussion of measurable Schur multipliers and a generalisation of Grothendieck's Theorem due to Peller. Thereafter, a non-commutative version of Schur multipliers, called operator multipliers and introduced by Kissin and Schulman, is discussed, and a characterisation extending the description in the commutative case...
Schur class operator functions and automorphisms of Hardy algebras.
Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants.
Secondary invariants for Frechet algebras and quasihomomorphisms.
Second-Dual Liminal C*-Algebras.
Selfadjoint Extension Operators Commuting with an Algebra.
Semi-étale groupoids and applications
We associate a -algebra to a locally compact Hausdorff groupoid with the property that the range map is locally injective. The construction generalizes J. Renault’s reduced groupoid -algebra of an étale groupoid and has the advantage that it works for the groupoid arising from a locally injective dynamical system by the method introduced in increasing generality by Renault, Deaconu and Anantharaman-Delaroche. We study the -algebras of such groupoids and give necessary and sufficient conditions...
Semigroup crossed products and Hecke algebras arising from number fields.
Semi-groups of rank-preserving transformers on minimal norm ideals in
Semigroups related to additive and multiplicative, free and Boolean convolutions
Belinschi and Nica introduced a composition semigroup of maps on the set of probability measures. Using this semigroup, they introduced a free divisibility indicator, from which one can know quantitatively if a measure is freely infinitely divisible or not. In the first half of the paper, we further investigate this indicator: we calculate how the indicator changes with respect to free and Boolean powers; we prove that free and Boolean 1/2-stable laws have free divisibility indicators equal to infinity;...
Semiregular maximal abelian *-subalgebras and the solution to the factor state Stone-Weierstrass problem.
Semisimplicity and global dimension of a finite von Neumann algebra
We prove that a finite von Neumann algebra is semisimple if the algebra of affiliated operators of is semisimple. When is not semisimple, we give the upper and lower bounds for the global dimensions of and This last result requires the use of the Continuum Hypothesis.
Separable injectivity and tensor products.
Series of iterated quantum stochastic integrals
Sets of simple observables in the operational approach to quantum theory