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Different Irreducible Decompositions of Unitary Representations of Locally Compact Non-type I Groups

Different Irreducible Decompositions of Unitary Representations of Locally Compact Non-type I Groups
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Unitary Representations of Locally Compact Groups I

The Annals of Mathematics, 1950
We continue the study of unitary representations of locally compact groups begun in (3). Whereas (3) dealt to a large extent with discrete groups, the problems of the present paper are mainly relevant in the case of nondiscrete groups. Let g -+ U(g) be a unitary representation U of a group G by means of unitary operators U(g) acting in a separable ...
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Amenability properties of unitary co-representations of locally compact quantum groups

International Journal of Mathematics, 2019
For locally compact quantum groups [Formula: see text], we initiate an investigation of stable states with respect to unitary co-representations [Formula: see text] of [Formula: see text] on Hilbert spaces [Formula: see text]; in particular, we study the subject on the multiplicative unitary operator [Formula: see text] of [Formula: see text] with ...
Fatemeh Akhtari, Rasoul Nasr-Isfahani
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Unitary Representations of Locally Compact Groups

2015
As was mentioned in n° 15 and 23, a representation of a lcg G is a homomorphism \(x\mapsto\;U(x)\) from G to the group of invertible continuous operators of a Banach space \( \mathcal{H}\) such that the map \( x\longmapsto\;U(x)\boldsymbol{\rm{a}}\) is continuous for all \(\boldsymbol{\rm{a}} \in \mathcal{H}\).
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Classification of certain types of locally compact groups in terms of their unitary representations

Russian Mathematical Surveys, 1992
By definition a locally compact group has the property \({\mathfrak D}\) if all its irreducible unitary representations are weakly measurable. It is proved that if a group \(G\) has the property \({\mathfrak D}\), then it is totally disconnected or is not totally disconnected and \(\mu(C)=0\), where \(\mu\) is the left Haar measure on \(G\) and \(C ...
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Unitary Representations of Inductive Limits of Commutative Locally Compact Groups

1991
This section could also be called: families of commuting unitary operators. But here we will be mainly concerned with commutative groups of unitary operators, the study of which is reduced to the study of countable collections of commuting self-adjoint operators.
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REMOVED: Chapter 13 Unitary Representations of Locally Compact Groups

1977
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Unitary representations of the groups GL(2) and GU(2) over an unconnected locally compact quaternion field

Functional Analysis and Its Applications, 1973
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Unitary Representations of Locally Compact Groups

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