Capacité et théorie du renouvellement. I
Capacités invariantes extrémales
On étudie certains cônes de mesures sur un espace localement compact, qui sont invariantes par l’action continue d’un groupe localement compact , cette étude étant centrée sur les génératrices extrémales de ces cônes. On dégage d’abord un type très simple d’action continue où l’on décrit complètement la situation. On dégage ensuite une classe d’actions (contenant par exemple l’action de shift de Bernoulli sur ) qui ne sont pas du type précédent, et que l’on étudie en grand détail. Le résultat...
Center of Group Algebras.
Centered operators
Character Connes amenability of dual Banach algebras
We study the notion of character Connes amenability of dual Banach algebras and show that if is an Arens regular Banach algebra, then is character Connes amenable if and only if is character amenable, which will resolve positively Runde’s problem for this concept of amenability. We then characterize character Connes amenability of various dual Banach algebras related to locally compact groups. We also investigate character Connes amenability of Lau product and module extension of Banach algebras....
Character contractibility of Banach algebras and homological properties of Banach modules
Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We give some necessary and sufficient conditions for the left ϕ-contractibility of 𝓐 as well as several hereditary properties. We also study relations between homological properties of some Banach left 𝓐-modules, the left ϕ-contractibility and the right ϕ-amenability of 𝓐. Finally, we characterize the left character contractibility of various Banach algebras related to locally compact groups.
Character formula for wreath products of compact groups with the infinite symmetric group
Let be the wreath product of a compact group T with the infinite symmetric group . We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.
Character theory of infinite wreath products.
Characterization of measures in the group C*-algebra of a locally compact group.
Characterizations of seminorms given by continuous linear functionals on normed linear spaces and applications to Gel'fand measures.
Characterizing moore groups by Tensor products of irreducible representations.
Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen.
Cocyle Representations of Solvable Lie Groups.
Coherent pair of extensions of locally compact groups
Coherent states of the 1+1 dimensional Poincaré group : square integrability and a relativistic Weyl transform
Commutativity of intertwining operators for semisimple groups
Commuting operators and class functions.
Compact groups of automorphisms of von Neumann algebras.
Compactness conditions in topological groups.
Compactness properties of a locally compact group and analytic semigroups in the group algebra.
Let G be a locally compact group with left Haar measure μ, and let L1(G) be the convolution Banach algebra of integrable functions on G with respect to μ. In this paper we are concerned with the investigation of the structure of G in terms of analytic semigroups in L1(G).