Results 31 to 40 of about 440,031 (362)
Conjugacy class conditions in locally compact second countable groups [PDF]
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
core +1 more source
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
V. H. Chavushyan, Hrant M. Tovmassian
openaire +2 more sources
Totally disconnected locally compact groups with a linear open subgroup [PDF]
We describe the global structure of totally disconnected locally compact groups having a linear open compact subgroup. Among the applications, we show that if a non-discrete, compactly generated, topologically simple, totally disconnected locally compact
Caprace, Pierre-Emmanuel+1 more
core +1 more source
Locally compact convergence groups and n-transitive actions [PDF]
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
core +1 more source
Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case [PDF]
We show that in order to prove that all locally compact groups with exact reduced group C∗-algebras are exact in the dynamical sense (i.e., KW-exact), it suffices to show this for totally disconnected locally compact ...
Cave, Chris, Zacharias, Joachim
core +2 more sources
Induction and restriction as adjoint functors on representations of locally compact groups
In this paper the Frobenius Reciprocity Theorem for locally compact groups is looked at from a category theoretic point of view.
Robert A. Bekes, Peter J. Hilton
doaj +1 more source
Properties of locally semi-compact Ir-topological groups
This study investigates some topological properties of locally semi-compact Ir-topological groups and establishes the relationship between Ir-topological groups and semi-compact spaces.
Wang ZhongLi, Teh Wen Chean
doaj +1 more source
A Stone-Weierstrass theorem for group representations
It is well known that if G is a compact group and π a faithful (unitary) representation, then each irreducible representation of G occurs in the tensor product of some number of copies of π and its contragredient. We generalize this result to a separable
Joe Repka
doaj +1 more source
On certain porous sets in the Orlicz space of a locally compact group
Let G be a locally compact group with a fixed left Haar measure. Given Young functions φ and ψ, we consider the Orlicz spaces L(G) and L(G) on a nonunimodular group G, and, among other things, we prove that under mild conditions on φ and ψ, the set {(f ...
I. Akbarbaglu, S. Maghsoudi
semanticscholar +1 more source
Computing the Scale of an Endomorphism of a totally Disconnected Locally Compact Group
The scale of an endomorphism of a totally disconnected, locally compact group G is defined and an example is presented which shows that the scale function is not always continuous with respect to the Braconnier topology on the automorphism group of G ...
George A. Willis
doaj +1 more source