Convolution on the reduced dual of a locally compact group.
Convolutions related to q-deformed commutativity
Two important examples of q-deformed commutativity relations are: aa* - qa*a = 1, studied in particular by M. Bożejko and R. Speicher, and ab = qba, studied by T. H. Koornwinder and S. Majid. The second case includes the q-normality of operators, defined by S. Ôta (aa* = qa*a). These two frameworks give rise to different convolutions. In particular, in the second scheme, G. Carnovale and T. H. Koornwinder studied their q-convolution. In the present paper we consider another convolution of measures...
Corona C*-algebras and their applications to lifting problems.
Correction : «Éléments de probabilités quantiques. Calculs antisymétriques et «supersymétriques» en probabilités»
Correction to An algebraic formulation of ergodic problems
Correction to "On the hyperbolic metric on Harnack parts" (Studia Math. 55 (1976), pp. 97-109
Corrections : «Éléments de probabilités quantiques (exposés I à V)»
Covariance algebra of a partial dynamical system
A pair (X, α) is a partial dynamical system if X is a compact topological space and α: Δ→ X is a continuous mapping such that Δ is open. Additionally we assume here that Δ is closed and α(Δ) is open. Such systems arise naturally while dealing with commutative C *-dynamical systems. In this paper we construct and investigate a universal C *-algebra C *(X,α) which agrees with the partial crossed product [10] in the case α is injective, and with the crossed product by a monomorphism [22] in the case...
Covariant version of the Stinespring type theorem for Hilbert C*-modules
In this paper, we prove a covariant version of the Stinespring theorem for Hilbert C*-modules. Also, we show that there is a bijective correspondence between operator valued completely positive maps, (u′, u)-covariant with respect to the dynamical system (G, η, X) on Hilbert C*-modules and (u′, u)-covariant operator valued completely positive maps on the crossed product G ×η X of X by η.
Coverings of foliations anf associated C*-algebras.
Crossed products by Hilbert pro-C*-bimodules
We define the crossed product of a pro-C*-algebra A by a Hilbert A-A pro-C*-bimodule and we show that it can be realized as an inverse limit of crossed products of C*-algebras by Hilbert C*-bimodules. We also prove that under some conditions the crossed products of two Hilbert pro-C*-bimodules over strongly Morita equivalent pro-C*-algebras are strongly Morita equivalent.
Crossed products, direct integrals and Connes' classification of type III factors.
Crossed products of C*-algebras by approximately uniformly continous actions.
Crossed Products of Communtation Systems.
Crossed products whose primitive ideal spaces are generalized trivial ...-bundles.
Crosssed products in bimodules.
Cyclic cohomology of crossed products by algebraic.
Cyclic Cohomology, Supersymmetry and KMS States The KMS States as Generalized Elliptic Operators
Cyclic homology and equivariant theories
In this article, we present two possible extensions of the classical theory of equivariant cohomology. The first, due to P. Baum, R. MacPherson and the author, is called the “delocalized theory". We attempt to present it in very concrete form for a circle action on a smooth manifold. The second is the cyclic homology of the crossed- product algebra of the algebra of smooth functions on a manifold, by the convolution algebra of smooth functions on a Lie group, when such Lie group act on the manifold....