A note on Lebesgue type decomposition for covariant completely positive maps on -algebras.
A Note on Lifting of Matrix Units in C*-Algebras.
A note on regular elements in Calkin algebras.
An element a of the Banach algebra A is said to be regular provided there is an element b belonging to A such that a = aba. In this note we study the set of regular elements in the Calkin algebra C(X) over an infinite-dimensional complex Banach space X.
A note on Riesz elements in -algebras.
A quick and simple proof of Sherman's theorem on order in -algebras.
A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras.
A remark on -algebras
A remark on the slice map problem.
A remark on transitivity of operator algebras
A Simple Proof of the Dauns-Hofmann Theorem.
A simple proof of the Stone-Weierstrass theorem for CCR-algebras with Hausdorff spectrum.
A structure theorem Lie algebras of unbounded derivations in -algebras
Actions of finite groups on C*-algebras.
Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries
The notion of monoidal equivalence for compact quantum groups was recently introduced by Bichon, De Rijdt and Vaes. In this paper we prove that there is a natural bijective correspondence between actions of monoidally equivalent quantum groups on unital -algebras or on von Neumann algebras. This correspondence turns out to be very useful to obtain the behavior of Poisson and Martin boundaries under monoidal equivalence of quantum groups. Finally, we apply these results to identify the Poisson boundary...
Adjointability of operators on Hilbert -modules.
AF algebras with a lattice of projections.
Algebras of spherical functions associated with covariant systems over a compact group.
Algèbres duales uniformes d'opérateurs sur l'espace de Hilbert
All nuclear C*-algebras are amenable.
Almost commuting self-adjoint matrices - a short proof of Huaxin Lin's theorem.