Results 51 to 60 of about 435 (149)
Admissibility Conjecture and Kazhdan's Property (T) for quantum groups [PDF]
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
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Induced representations of locally compact groups
"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
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
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Unitary representations of groups, duals, and characters
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
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On uniform local dispersion on a family of G-orbits
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
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Essential spectrum and fredholm properties for perators on locally compact groups [PDF]
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
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Amenability versus property (T) for non locally compact topological groups.
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
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Induced representations of locally compact quantum groups in the bornological setting
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
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Unitary $L^{p+}$-representations of almost automorphism groups
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
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
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