Results 61 to 70 of about 435 (149)

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

, 2018
For locally compact groups amenability and Kazhdan’s property ( T ) (T) are mutually exclusive in the sense that a group having both properties is compact.
Vladimir Pestov
core   +1 more source

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Basic Representation Theory of Groups and Algebras

, 1988
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-
Fell, James M G, Doran, R
core  

The supercuspidal representations of p-adic classical groups

, 2008
Let G be a unitary, symplectic or special orthogonal group over a locally compact non-archimedean local field of odd residual characteristic. We construct many new supercuspidal representations of G, and Bushnell-Kutzko types for these representations ...
Stevens, Shaun
core   +1 more source

Irreducible unitary representations of the Poincaré Group.

, 2016
A teoria de representações de grupos topológicos Hausdorff, localmente compactos e separáveis em espaços de Hilbert separáveis é introduzida, especificada para grupos compactos e comutativos e são obtidas realizações explicitas das representações finitas
Germano, Guilherme Rocha
core   +1 more source

Weak Containment and Induced Representations of Groups

, 1962
Let G be a locally compact group and G† its dual space, that is, the set of all unitary equivalence classes of irreducible unitary representations of G. An important tool for investigating the group algebra of G is the so-called hull-kernel topology of G†
J. M. G. Fell
core   +1 more source

UNITARY REPRESENTATIONS OF THE GROUPS OF MEASURABLE AND CONTINUOUS FUNCTIONS WITH VALUES IN THE CIRCLE

, 2015
. We give a classication of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measur-able functions with values in the circle and the groups of all continuous functions on compact, second countable ...
S Lawomir Solecki
core  

Introductory Lectures on Group Representations [PDF]

, 1994
Part I. Takeshi Hirai, Atomosphere in the theory of group representations [1]Part II.
TATSUUMA, Nobuhiko, HIRAI, Takeshi
core  

Irreducibly represented Lie groups and Nebbia’s CCR conjecture on trees

, 2023
This thesis is devoted to the study of the interactions existing between the algebraic structure of locally compact groups and the properties of their continuous unitary representations, with a special emphasis on the Type I groups.
Semal, Lancelot
core  

Asymptotic properties of unitary representations

, 1979
If ϱ is a unitary representation of a locally compact group G, one is very often interested in the asymptotic behavior of the operators ϱ(g) as g tends to ∞ in G. Put another way one is interested in what operators not in ϱ(G) can be (weak) limits of the
Moore, Calvin C., Howe, Roger E.
core   +1 more source

On sufficient density conditions for lattice orbits of relative discrete series. [PDF]

Arch Math, 2022
Enstad U, van Velthoven JT.
europepmc   +1 more source