Results 11 to 20 of about 17,204 (266)

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
openaire   +2 more sources

Continuity of the dual Haar measure

Comptes Rendus. Mathématique, 2021
Given a continuous field of locally compact groups, we show that the field of the Plancherel weights of their C*-algebras is lower semi-continuous. As a corollary, we obtain that the dual Haar system of a continuous Haar system of a locally compact ...
Renault, Jean
doaj   +1 more source

Products of K-Analytic Sets in Locally Compact Groups and Kuczma–Ger Classes

Axioms, 2022
We prove that for any K-analytic subsets A,B of a locally compact group X if the product AB has empty interior (and is meager) in X, then one of the sets A or B can be covered by countably many closed nowhere dense subsets (of Haar measure zero) in X ...
Taras Banakh, Iryna Banakh, Eliza Jabłońska   +2 more
doaj   +1 more source

Krein’s Theorem in the Context of Topological Abelian Groups

Axioms, 2022
A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact.
Tayomara Borsich, Xabier Domínguez, Elena Martín-Peinador   +2 more
doaj   +1 more source

Boehmians on manifolds

International Journal of Mathematics and Mathematical Sciences, 2000
The construction of Boehmians on a manifold requires a commutative convolution structure. We present such constructions in two specific cases: an N-dimensional torus and an N-dimensional sphere. Then we formulate conditions under which a construction of
Piotr Mikusiński
doaj   +1 more source

Compact Groups: Local Groups?

The Astronomical Journal, 2000
It is concluded that faint members found in the vicinities of compact groups (CGs) are gravitationally bound with corresponding groups. All members of CGs, faint and bright, move preferentially in the direction of the elongation of the group. We suppose that the number of faint members may be much larger than previously assumed. These two circumstances
H. M. Tovmassian, V. H. Chavushyan
openaire   +1 more source

Inner Amenable Locally Compact Groups [PDF]

Transactions of the American Mathematical Society, 1991
In this paper we study the relationship between amenability, inner amenability and property P P of a von Neumann algebra. We give necessary conditions on a locally compact group G G to have an inner invariant mean m m such that m ( V ) = 0 m(V) =
Lau, Anthony To-Ming, Paterson, Alan L. T.   +1 more
openaire   +2 more sources

Compactness in Wiener amalgams on locally compact groups

International Journal of Mathematics and Mathematical Sciences, 2003
We study the compactness of bounded subsets in a Wiener amalgam whose local and global components are solid Banach function (BF) spaces on a locally compact group.
S. S. Pandey
doaj   +1 more source

Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century

Axioms, 2021
This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century.
Karl H. Hofmann, Sidney A. Morris
doaj   +1 more source

Locally Compact Contractive Local Groups

, 2009
10 ...
van den Dries, Lou, Goldbring, Isaac
openaire   +3 more sources