Results 51 to 60 of about 435 (149)

Admissibility Conjecture and Kazhdan's Property (T) for quantum groups [PDF]

open access: yes, 2019
We give a partial solution to a long-standing open problem in the theory of quantum groups, namely we prove that all finite-dimensional representations of a wide class of locally compact quantum groups factor through matrix quantum groups (Admissibility ...
Salmi, Pekka   +8 more
core   +1 more source

Induced representations of locally compact groups

open access: yes, 2012
"Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group.
Kaniuth, Eberhard, Taylor, Keith F
core  

Groups with finite dimensional irreducible representations

open access: yes, 1972
It will be shown that a locally compact group has a finite bound for the dimensions of its irreducible unitary representations if and only if it has a closed abelian subgroup of finite index.
Calvin C. Moore
core   +1 more source

Unitary representations of groups, duals, and characters

open access: yes, 2019
International audienceThis is an expository book on unitary representations of topological groups, and of several dual spaces, which are spaces of such representations up to some equivalence. The most important notions are defined for topological groups,
de La Harpe, Pierre, Bekka, Bachir
core  

On uniform local dispersion on a family of G-orbits

open access: yes, 1986
Trockel W. On uniform local dispersion on a family of G-orbits. Journal of Mathematical Analysis and Applications. 1986;118(1):173-179.Consider a topological space T which is the union of a family of G-orbits, where G is a locally euclidean group G ...
Trockel, Walter   +1 more
core   +1 more source

Essential spectrum and fredholm properties for perators on locally compact groups [PDF]

open access: yes, 2017
We study the essential spectrum and Fredholm properties of certain integral and pseudo-differential operators associated to non-commutative locally compact groups G. The techniques involve crossed product C*-algebras.
Marius Laurentiu Mantoiu   +1 more
core   +1 more source

Amenability versus property (T) for non locally compact topological groups.

open access: yes, 2017
For locally compact groups amenability and Kazhdan's property (T) are mutually exclusive in the sense that a group having both properties is compact. This is no longer true for more general Polish groups.
Pestov, Vladimir
core  

Induced representations of locally compact quantum groups in the bornological setting

open access: yes, 2021
Dans la première partie de cette thèse, on poursuit le développement des groupes quantiques bornologiques, introduits par Voigt. On ajoute l’hypothèse d’une *-involution à sa définition d’origine puis on montre dans un second temps qu’un tel groupe ...
Rivet, Damien
core  

Unitary $L^{p+}$-representations of almost automorphism groups

open access: yes, 2023
Let $G$ be a locally compact group with an open subgroup $H$ with the Kunze-Stein property, and let $\pi$ be a unitary representation of $H$. We show that the representation $\widetilde{\pi}$ of $G$ induced from $\pi$ is an $L^{p+}$-representation if and
Elkiær, Emilie Mai   +3 more
core  

Filter products of C0-semigroups and ultraproduct representations for Lie groups

open access: yes, 2004
We provide a new approach to filter products of C0-semigroups and prove a spectral theorem for the generator and its filter product. In a similar fashion, we construct ultraproducts of strongly continuous unitary representations of locally compact groups
Straub, B   +4 more
core   +1 more source

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