Results 11 to 20 of about 435 (149)

The weak compactification of locally compact groups [PDF]

open access: yes, 2021
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]

open access: yes, 2008
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]

open access: yesSurveys 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  

The Haagerup property for locally compact quantum groups [PDF]

open access: yes, 2013
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

Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation

open access: yesRepresentation Theory, 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

The unitary extension principle for locally compact abelian groups with co-compact subgroups

open access: yes, 2021
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

open access: yes, 1982
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]

open access: yes, 2020
. 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  

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