Erratum to the paper "On the reflexivity of pairs of isometries and of tensor products of some reflexive algebras" (Studia Math. 83 (1986), 47-55)
A gap in the proof of [4, Theorem 1] is removed.
Erratum to "Tracial states on crossed products associated with Furstenberg transformations on the 2-torus" (Studia Math. 115 (1995), 183-187)
Espaces d'opérateurs : une nouvelle dualité
Estimating Norms in C*-Algebras of Discrete Groups.
États localisés du rotateur pulsé
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...
Every separable L₁-predual is complemented in a C*-algebra
We show that every separable complex L₁-predual space X is contractively complemented in the CAR-algebra. As an application we deduce that the open unit ball of X is a bounded homogeneous symmetric domain.
Existence of infinite-dimensional Lie algebra for a unitary group on a Hilbert space and related aspects
We show that for any strongly closed subgroup of a unitary group of a finite von Neumann algebra, there exists a canonical Lie algebra which is complete with respect to the strong resolvent topology. Our analysis is based on the comparison between measure topology induced by the tracial state and the strong resolvent topology we define on the particular space of closed operators on the Hilbert space. This is an expository article of the paper by both authors in Hokkaido Math. J. 41 (2012), 31-99,...
Existentially closed II₁ factors
We examine the properties of existentially closed (-embeddable) II₁ factors. In particular, we use the fact that every automorphism of an existentially closed (-embeddable) II₁ factor is approximately inner to prove that Th() is not model-complete. We also show that Th() is complete for both finite and infinite forcing and use the latter result to prove that there exist continuum many nonisomorphic existentially closed models of Th().
Exotic galilean symmetry and non-commutative mechanics.
Exotic infrared representations of interacting systems
Expectations on B*-algebras.
Explicit computations of all finite index bimodules for a family of II factors
We study II factors and associated with good generalized Bernoulli actions of groups having an infinite almost normal subgroup with the relative property (T). We prove the following rigidity result : every finite index --bimodule (in particular, every isomorphism between and ) is described by a commensurability of the groups involved and a commensurability of their actions. The fusion algebra of finite index --bimodules is identified with an extended Hecke fusion algebra, providing the...
Exponentielles et fonctionnelles de Schwinger en analyse gaussienne non commutative
Ext classes and embeddings for -algebras of graphs with sinks.
Extended stability problem for alternative Cauchy-Jensen mappings.
Extending traces to factorial traces.
Extension de la catégorie des algèbres de Kac
On munit la classe des algèbres de Kac d’une nouvelle classe de morphismes, stable par dualité. Cela permet de rendre compte, dans les cas abélien ou symétrique, de la catégorie des groupes localement compacts munis des morphismes continus de groupe. Le lien avec les morphismes précédemment définis et beaucoup plus restrictifs est établi.
Extension of spectral scales to unbounded operators.
Extension techniques in -cross products by compact group duals and in quantum field theory.