Results 1 to 10 of about 26,888 (119)
On Constructing Informationally Complete Covariant Positive Operator-Valued Measures [PDF]
Entropy, 2023 We study a projective unitary representation of the product G=G˜×G, where G is a locally compact Abelian group and G^ is its dual consisting of characters on G.
Grigori Amosov
doaj +2 more sources
Unitary representations of locally compact groups. - Reproduction of Gelfand-Raikov's theorem [PDF]
, 1949 Yoshizawa, Hisaaki
openaire +5 more sources
Quantum reference frames for general symmetry groups [PDF]
Quantum, 2020 A fully relational quantum theory necessarily requires an account of changes of quantum reference frames, where quantum reference frames are quantum systems relative to which other systems are described.
Anne-Catherine de la Hamette +1 more
doaj +1 more source
Unitary Representations of Locally Compact Groups as Metric Structures
Notre Dame Journal of Formal Logic, 2023 For a locally compact group $G$, we show that it is possible to present the class of continuous unitary representations of $G$ as an elementary class of metric structures, in the sense of continuous logic. More precisely, we show how non-degenerate $*$-representations of a general $*$-algebra $A$ (with some mild assumptions) can be viewed as an ...
Ben Yaacov, Itaï, Goldbring, Isaac
openaire +3 more sources
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
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 +8 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
Projective unitary antiunitary representations of locally compact groups [PDF]
Communications in Mathematical Physics, 1969 We give here a systematic presentation of the theory of projective representations when antiunitary operators are present. In particular the imprimitivity theorem of Mackey is proved in this situation and all the unitary antiunitary representations of the extended Poincare group are derived.
openaire +3 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
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