Results 11 to 20 of about 311,511 (286)
Quantum double of a (locally) compact group
Journal of Lie Theory, 1996 We generalise the quantum double construction of Drinfel'd to the case of the (Hopf) algebra of suitable functions on a compact or locally compact group. We will concentrate on the *-algebra structure of the quantum double.
Communicated B. Ørsted +2 more
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Automorphisms of locally compact groups [PDF]
Pacific Journal of Mathematics, 1978 It is proved that for arbitrary locally compact groups G the automorphism group Aut (G) is a complete topological group. Several conditions equivalent to closedness of the group Int (G) of inner automorphisms are given, such as G admits no nontrivial central sequences. It is shown that Aut (G) is topologically embedded in the automorphism group Aut^(G)
Peters, J., Sund, Terje
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Compact Subgroups of Lie Groups and Locally Compact Groups [PDF]
Proceedings of the American Mathematical Society, 1994 We show that the set of compact subgroups in a connected Lie group is inductive. In fact, a locally compact group G G has the inductivity property for compact subgroups if and only if the factor group G / G 0 G/{G_0} modulo the ...
Hofmann, Karl H., Terp, Christian
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Locally compact quantum groups [PDF]
Annales Scientifiques de l’École Normale Supérieure, 2000 Summary: We propose a simple definition of a locally compact quantum group in reduced form. By the word `reduced' we mean that we suppose the Haar weight to be faithful. So in fact we define and study an arbitrary locally compact quantum group, represented on the \(L^2\)-space of its Haar weight.
Kustermans, Johan, Vaes, Stefaan
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Shannon’s theorem for locally compact groups [PDF]
The Annals of Probability, 2022 We consider random walks on locally compact groups, extending the geometric criteria for the identification of their Poisson boundary previously known for discrete groups. First, we prove a version of the Shannon-McMillan-Breiman theorem, which we then use to generalize Kaimanovich's ray approximation and strip approximation criteria.
Forghani B., Tiozzo G.
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Sahand Communications in Mathematical Analysis, 2018 Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames.
Ataollah Askari Hemmat +2 more
doaj +1 more source
Conjugacy class conditions in locally compact second countable groups [PDF]
, 2015 Many non-locally compact second countable groups admit a comeagre conjugacy class. For example, this is the case for the automorphism group of the rational order and the automorphism group of the random graph [Truss]. A. Kechris and C.
Wesolek, Phillip
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Locally compact convergence groups and n-transitive actions [PDF]
, 2012 All sigma-compact, locally compact groups acting sharply n-transitively and continuously on compact spaces M have been classified, except for n=2,3 when M is infinite and disconnected. We show that no such actions exist for n=2 and that these actions for
Carette, Mathieu, Dreesen, Dennis
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The weights of closed subgroups of a locally compact group [PDF]
, 2012 Let $G$ be an infinite locally compact group and $\aleph$ a cardinal satisfying $\aleph_0\le\aleph\le w(G)$ for the weight $w(G)$ of $G$. It is shown that there is a closed subgroup $N$ of $G$ with $w(N)=\aleph$.
Hernández, Salvador +2 more
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Globalizing Locally Compact Local Groups
Journal of Lie Theory, 2010 5 ...
van den Dries, Lou, Goldbring, Isaac
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