Results 11 to 20 of about 26,970 (130)
Amenability of locally compact quantum groups and their unitary co-representations [PDF]
Bulletin of the London Mathematical Society, 2016 9 pages; a new co-author; added to Theorem 3.2 a second part about the case of a trivial scaling group, and gave an alternative proof of one of the implications; to appear in the Bulletin of the London Mathematical ...
Ng, Chi-Keung, Viselter, Ami
openaire +3 more sources
Geometry of the Fourier algebras and locally compact groups with atomic unitary representations
Mathematische Annalen, 1983 exaly +3 more sources
Representation Theory of the American Mathematical Society, 2023 Inspired by Ol′šhanskiĭ’s work, we provide an axiomatic framework to describe certain irreducible unitary representations of non-discrete unimodular totally disconnected locally compact groups. We look at the applications to certain groups of automorphisms of locally finite trees and semi-regular right-angled buildings.
openaire +2 more sources
Integral models of unitary representations of current groups with values in semidirect products [PDF]
, 2008 We describe a general construction of irreducible unitary representations of the group of currents with values in the semidirect product of a locally compact subgroup $P_0$ and a one-parameter group ${\mathbb R {}}^*_+=\{r:r>0\}$ of automorphisms of $P_0$
Graev, M. I., Vershik, A. M.
core +2 more sources
Frobenius reciprocity and the Haagerup tensor product [PDF]
, 2017 In the context of operator-space modules over C*-algebras, we give a complete characterisation of those C*-correspondences whose associated Haagerup tensor product functors admit left adjoints.
Crisp, Tyrone
core +3 more sources
Isometric group actions on Hilbert spaces: growth of cocycles [PDF]
, 2005 We study growth of 1-cocycles of locally compact groups, with values in unitary representations. Discussing the existence of 1-cocycles with linear growth, we obtain the following alternative for a class of amenable groups G containing polycyclic groups ...
de Cornulier, Yves +2 more
core +5 more sources
Different versions of the imprimitivity theorem [PDF]
Surveys in Mathematics and its Applications, 2012 In this paper we present different versions of the imprimitivity theorem hoping that this might become a support for the ones who are interested in the subject. We start with Mackey's theorem [G.W.
Tania-Luminiţa Costache
doaj
Isometric group actions on Banach spaces and representations vanishing at infinity [PDF]
, 2006 Our main result is that the simple Lie group $G=Sp(n,1)$ acts properly isometrically on $L^p(G)$ if $p>4n+2$. To prove this, we introduce property $({\BP}_0^V)$, for $V$ be a Banach space: a locally compact group $G$ has property $({\BP}_0^V)$ if every ...
A. Guichardet +27 more
core +5 more sources
Kazhdan sets in groups and equidistribution properties [PDF]
, 2017 Using functional and harmonic analysis methods, we study Kazhdan sets in topological groups which do not necessarily have Property (T). We provide a new criterion for a generating subset $Q$ of a group $G$ to be a Kazhdan set; it relies on the existence ...
Badea, Catalin, Grivaux, Sophie
core +2 more sources
A dichotomy property for locally compact groups [PDF]
, 2018 We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which was defined by ...
Ferrer, Marita +2 more
core +3 more sources