scholarly journals Analytic Pontryagin duality

2019 ◽  
Vol 145 ◽  
pp. 103483
Author(s):  
Johnny Lim
Keyword(s):  
Pontryagin Duality

scholarly journals Groups of quasi-invariance and the Pontryagin duality

2010 ◽  
Vol 157 (18) ◽  
pp. 2786-2802 ◽  
Author(s):  
S.S. Gabriyelyan
Keyword(s):  
Pontryagin Duality

Pego everywhere

2016 ◽  
Vol 15 (04) ◽  
pp. 1650074 ◽  
Author(s):  
Przemysław Górka ◽  
Tomasz Kostrzewa
Keyword(s):  
Fourier Transform ◽  
Abelian Groups ◽  
General Version ◽  
Pontryagin Duality ◽  
Locally Compact ◽  
Locally Compact Abelian Groups ◽  
Compact Abelian Groups ◽  
The Fourier Transform ◽  
Compact Subsets

In this note we show the general version of Pego’s theorem on locally compact abelian groups. The proof relies on the Pontryagin duality as well as on the Arzela–Ascoli theorem. As a byproduct, we get the characterization of relatively compact subsets of [Formula: see text] in terms of the Fourier transform.

Alexander-Pontryagin duality in complex analysis

1973 ◽  
Vol 13 (4) ◽  
pp. 339-341 ◽  
Author(s):  
V. D. Golovin
Keyword(s):  
Complex Analysis ◽  
Pontryagin Duality

Open subgroups and Pontryagin duality

1994 ◽  
Vol 215 (1) ◽  
pp. 195-204 ◽  
Author(s):  
Wojciech Banaszczyk ◽  
María Jesús Chasco ◽  
Elena Martin-Peinador
Keyword(s):  
Pontryagin Duality

Extensions of Pontryagin duality

1975 ◽  
Vol 143 (2) ◽  
pp. 105-112 ◽  
Author(s):  
Rangachari Venkataraman
Keyword(s):  
Pontryagin Duality

scholarly journals A REPRESENTATION THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS

2009 ◽  
Vol 20 (03) ◽  
pp. 377-400 ◽  
Author(s):  
MARIUS JUNGE ◽  
MATTHIAS NEUFANG ◽  
ZHONG-JIN RUAN
Keyword(s):  
Quantum Groups ◽  
Representation Theorem ◽  
Locally Compact Group ◽  
Measure Algebra ◽  
Pontryagin Duality ◽  
Locally Compact ◽  
Multiplier Algebra ◽  
Locally Compact Quantum Groups ◽  
Isometric Representation ◽  
Compact Quantum Groups

Recently, Neufang, Ruan and Spronk proved a completely isometric representation theorem for the measure algebra M(G) and for the completely bounded (Herz–Schur) multiplier algebra McbA(G) on [Formula: see text], where G is a locally compact group. We unify and generalize both results by extending the representation to arbitrary locally compact quantum groups 𝔾 = (M, Γ, φ, ψ). More precisely, we introduce the algebra [Formula: see text] of completely bounded right multipliers on L1(𝔾) and we show that [Formula: see text] can be identified with the algebra of normal completely bounded [Formula: see text]-bimodule maps on [Formula: see text] which leave the subalgebra M invariant. From this representation theorem, we deduce that every completely bounded right centralizer of L1(𝔾) is in fact implemented by an element of [Formula: see text]. We also show that our representation framework allows us to express quantum group "Pontryagin" duality purely as a commutation relation.

Coproduct in the category of groups satisfying Pontryagin duality

1983 ◽  
Vol 96 (4) ◽  
pp. 311-315 ◽  
Author(s):  
Rangachari Venkataraman
Keyword(s):  
Pontryagin Duality
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