Results 11 to 20 of about 435 (149)
Geometry of the Fourier algebras and locally compact groups with atomic unitary representations
exaly +3 more sources
The weak compactification of locally compact groups [PDF]
We further investigate the weak topology generated by the irreducible unitary representations of a group G. A deep result due to Ernest [13] and Hughes [22] asserts that every weakly compact subset of a locally compact (LC) group G is compact in the LC ...
Hernández, Salvador, Ferrer, María V.
core +1 more source
Amenability, Countable Equivalence Relations, and Their Full Groups [PDF]
This thesis consists of an introduction and four independent chapters. In Chapter 1, we study homeomorphism groups of metrizable compactifications of the natural numbers. Those groups can be represented as almost zero-dimensional Polishable subgroups
Tsankov, Todor Dimitrov
core +1 more source
Different versions of the imprimitivity theorem [PDF]
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
The Haagerup property for locally compact quantum groups [PDF]
The Haagerup property for locally compact groups is generalised to the context of locally compact quantum groups, with several equivalent characterisations in terms of the unitary representations and positive-definite functions established. In particular
Skalski, A +11 more
core +1 more source
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
The unitary extension principle for locally compact abelian groups with co-compact subgroups
The unitary extension principle by Ron and Shen is one of the cornerstones of wavelet frame theory; it leads to tight frames for L2(R) and associated expansions of functions f ∈ L2(R) of similar type as those for orthonormal wavelet bases. In this paper,
Christensen, Ole, Goh, Say Song
core +1 more source
Operators of finite rank in unitary representations of exponential Lie groups
Poguntke D. Operators of finite rank in unitary representations of exponential Lie groups. Mathematische Annalen.
Poguntke, Detlev
core +1 more source
Reduced 1-cohomology of connected locally compact groups and applications [PDF]
. In this article we focus on the reduced 1 -cohomology spaces of locally compact connected groups with coefficients in unitary representations. The vanishing of these spaces for every unitary irreducible representation characterizes Kazhdan's ...
Florian Martin
core

