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Semigroup crossed products and Hecke algebras arising from number fields.

Arledge, Jane, Laca, Marcelo, Raeburn, Iain (1997)

Documenta Mathematica

Sets of p-multiplicity in locally compact groups

I. G. Todorov, L. Turowska (2015)

Studia Mathematica

We initiate the study of sets of p-multiplicity in locally compact groups and their operator versions. We show that a closed subset E of a second countable locally compact group G is a set of p-multiplicity if and only if $E * = (s, t) : t s^{- 1} \in E$ is a set of operator p-multiplicity. We exhibit examples of sets of p-multiplicity, establish preservation properties for unions and direct products, and prove a p-version of the Stone-von Neumann Theorem.

Simple quotients of group $C^{*}$ -algebras for two step nilpotent groups and connected Lie groups

Detlev Poguntke (1983)

Annales scientifiques de l'École Normale Supérieure

Some aspects of harmonic analysis on free groups

Marek Bożejko (1979)

Colloquium Mathematicae

Some groups whose reduced $C^{*}$ -algebra is simple

M. Bekka, M. Cowling, P. de La Harpe (1994)

Publications Mathématiques de l'IHÉS

Some remarks on C*-bigebras and duality.

S. Sankaran, S.A. Selesnick (1971)

Semigroup forum

Spectral Pairs in Cartesian Coordinates.

P.E.T. Jorgensen, S. Pedersen (1999)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Spectral subspaces and non-commutative Hilbert transforms

Narcisse Randrianantoanina (2002)

Colloquium Mathematicae

Let G be a locally compact abelian group and ℳ be a semifinite von Neumann algebra with a faithful semifinite normal trace τ. We study Hilbert transforms associated with G-flows on ℳ and closed semigroups Σ of Ĝ satisfying the condition Σ ∪ (-Σ) = Ĝ. We prove that Hilbert transforms on such closed semigroups satisfy a weak-type estimate and can be extended as linear maps from L¹(ℳ,τ) into $L^{1, \infty} (ℳ, τ)$ . As an application, we obtain a Matsaev-type result for p = 1: if x is a quasi-nilpotent compact operator...

Spectrum of commutative Banach algebras and isomorphism of C*-algebras related to locally compact groups

Zhiguo Hu (1998)

Studia Mathematica

Let A be a semisimple commutative regular tauberian Banach algebra with spectrum $Σ_{A}$ . In this paper, we study the norm spectra of elements of $\bar{s p a n} Σ_{A}$ and present some applications. In particular, we characterize the discreteness of $Σ_{A}$ in terms of norm spectra. The algebra A is said to have property (S) if, for all $φ \in \bar{} Σ_{A} 0$ , φ has a nonempty norm spectrum. For a locally compact group G, let $ℳ_{2}^{d} (Ĝ)$ denote the C*-algebra generated by left translation operators on $L^{2} (G)$ and $G_{d}$ denote the discrete group G. We prove that the Fourier...

Stabilité du comportement des marches aléatoires sur un groupe localement compact

Driss Gretete (2008)

Annales de l'I.H.P. Probabilités et statistiques

Dans cet article nous démontrons un théorème de stabilité des probabilités de retour sur un groupe localement compact unimodulaire, séparable et compactement engendré. Nous démontrons que le comportement asymptotique de F*(2n)(e) ne dépend pas de la densité F sous des hypothèses naturelles. A titre d’exemple nous établissons que la probabilité de retour sur une large classe de groupes résolubles se comporte comme exp(−n1/3).

Strong Morita Equivalence of Certain Transformation Group C*-Algebras.

Marc A. Rieffel (1976)

Mathematische Annalen

Structure de certaines $C^{*}$ -algèbres associées aux réseaux de ${PSL}_{2} (ℝ)$

François Pierrot (2002)

Annales de l’institut Fourier

En utilisant la structure infinitésimale des représentations unitaires irréductibles de ${PSL}_{2} (ℝ)$ , nous donnons une description complète de certaines $C^{*}$ - algèbres associées aux réseaux de ${PSL}_{2} (ℝ)$ , répondant ainsi à certaines questions de Bekka–de La Harpe–Valette.

Currently displaying 1 – 15 of 15