A spectral theory for order unit spaces
A structure theorem Lie algebras of unbounded derivations in -algebras
A structure theory for Jordan -pairs
Jordan -pairs appear, in a natural way, in the study of Lie -triple systems ([3]). Indeed, it is shown in [4, Th. 3.1] that the problem of the classification of Lie -triple systems is reduced to prove the existence of certain -algebra envelopes, and it is also shown in [3] that we can associate topologically simple nonquadratic Jordan -pairs to a wide class of Lie -triple systems and then the above envelopes can be obtained from a suitable classification, in terms of associative -pairs, of...
A survey on dilations of projective isometric representations.
A survey on representations of the unitary group U(∞)
A survey on the classification of factors of von Neumann algebras.
A theorem on operator algebras.
A Thom isomorphism for infinite rank Euclidean bundles.
A topological isomorphism invariant for certain af algebras.
Action moyennable d'un groupe localement compact sur une algèbre de von Neumann II.
Action moyennable d'un groupe localement compact sur une algebre de von Neumann.
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...
Acyclic groups of automorphisms.
Adding tails to -correspondences.
Additive functional inequalities in Banach modules.
Adjointability of operators on Hilbert -modules.
AF algebras with a lattice of projections.
Affine semigroups and second duals.
Algebra of observables and quantum logic