Bicrossproduct Kac Algebras, Bicrossproduct Groups and von Neumann Algebras of Takesaki's Type.
Bilinear Forms on Exact Operator Spaces and B(H) ? B(H).
Bilipschitz invariance of the first transverse characteristic map
Given a smooth S¹-foliated bundle, A. Connes has shown the existence of an additive morphism ϕ from the K-theory group of the foliation C*-algebra to the scalar field, which factorizes, via the assembly map, the Godbillon-Vey class, which is the first secondary characteristic class, of the classifying space. We prove the invariance of this map under a bilipschitz homeomorphism, extending a previous result for maps of class C¹ by H. Natsume.
Bivariant -theory for locally convex algebras and the Chern-Connes character. (Bivariante -Theorie für lokalconvexe Algebren und der Chern-Connes-Charakter.)
bm-independence and central limit theorems associated with symmetric cones
We present a generalization of the classical central limit theorem to the case of non-commuting random variables which are bm-independent and indexed by a partially ordered set. As the set of indices I we consider discrete lattices in symmetric positive cones, with the order given by the cones. We show that the limit measures have moments which satisfy recurrences generalizing the recurrence for the Catalan numbers.
Bounded elements and spectrum in Banach quasi *-algebras
A normal Banach quasi *-algebra (,) has a distinguished Banach *-algebra consisting of bounded elements of . The latter *-algebra is shown to coincide with the set of elements of having finite spectral radius. If the family () of bounded invariant positive sesquilinear forms on contains sufficiently many elements then the Banach *-algebra of bounded elements can be characterized via a C*-seminorm defined by the elements of ().
Brascamp--Lieb inequalities for non-commutative integration.
Brisure de symétrie spontanée et géométrie du point de vue spectral
Bundle Convergence in a von Neumann Algebra and in a von Neumann Subalgebra
Let H be a separable complex Hilbert space, 𝓐 a von Neumann algebra in 𝓛(H), ϕ a faithful, normal state on 𝓐, and 𝓑 a commutative von Neumann subalgebra of 𝓐. Given a sequence (Xₙ: n ≥ 1) of operators in 𝓑, we examine the relations between bundle convergence in 𝓑 and bundle convergence in 𝓐.
-algebras associated to coverings of -graphs.
-algebras associated with presentations of subshifts.
algebras associated with von Neumann algebras
Ad un'algebra di von Neumann separabile , in forma standard su di uno spazio di Hilbert , si associa la algebra definita come la algebra costituita dai punti fissi dell'algebra di Cuntz generalizzata mediante l'azione canonica del gruppo degli unitari di . Si dà una caratterizzazione di nel caso in cui è un fattore iniettivo. In seguito, come applicazione della teoria dei sistemi asintoticamente abeliani, si mostra che, se è uno stato vettoriale normale e fedele di , la restrizione...
-algebras of operators in non-archimedean Hilbert spaces
We show several examples of n.av̇alued fields with involution. Then, by means of a field of this kind, we introduce “n.aḢilbert spaces” in which the norm comes from a certain hermitian sesquilinear form. We study these spaces and the algebra of bounded operators which are defined on them and have an adjoint. Essential differences with respect to the usual case are observed.
algebras of operators on a half-space
-algebras of operators on a half-space, II. Index theory
-basic construction between non-balanced quantum doubles
For finite groups , and the right -action on by group automorphisms, the non-balanced quantum double is defined as the crossed product . We firstly prove that is a finite-dimensional Hopf -algebra. For any subgroup of , can be defined as a Hopf -subalgebra of in the natural way. Then there is a conditonal expectation from onto and the index is . Moreover, we prove that an associated natural inclusion of non-balanced quantum doubles is the crossed product by the group algebra....
-cross products and a generalized quantum mechanical -body problem.
-Homomorphisms and duality of -discrete quantum groups.
Calcul stochastique non commutatif
C*-algebra of a differential groupoid