Zobrazeno 1 - 10
of 61 449
pro vyhledávání: '"locally compact"'
In this paper we develop the homological version of $\Sigma$-theory for locally compact Hausdorff groups, leaving the homotopical version for another paper. Both versions are connected by a Hurewicz-like theorem. They can be thought of as directional
Externí odkaz:
http://arxiv.org/abs/2411.13272
Autor:
Zheng, Yang
For a Polish group $G$, let $E(G)$ be the right coset equivalence relation $G^\omega/c(G)$, where $c(G)$ is the group of all convergent sequences in $G$. We prove a Rigid theorem on locally compact TSI Polish groups admitting open identity component,
Externí odkaz:
http://arxiv.org/abs/2410.21851
Autor:
Namboodiri, M N N
Let $\mathcal{G}$ be a locally compact Hausdorff group in which every element is of finite order, and let $P(\mathcal{G})$ denote the class of all regular probability measures on $\mathcal{G}$. In this note, it is observed that a charecterisation of
Externí odkaz:
http://arxiv.org/abs/2410.10520
Autor:
Chanfi, Dorian, Witzel, Stefan
We compare finiteness properties of locally compact groups that generalize the properties of being compactly generated and of being compactly presented. Three such families of properties have been proposed: Abels--Tiemeyer's type $C_n$, coarse $(n-1)
Externí odkaz:
http://arxiv.org/abs/2410.06685
Autor:
Hadadi, Reza
This paper provides a systematic exposition of Lyapunov stability for compact sets in locally compact metric spaces. We explore foundational concepts, including neighborhoods of compact sets, invariant sets, and the properties of dynamical systems, a
Externí odkaz:
http://arxiv.org/abs/2412.07100
We consider a (possibly discrete) unimodular locally compact group $G$ with Haar measure $\mu_G$, and a compact $A\subseteq G$ of positive measure with $\mu_G(A^2)\leq K\mu_G(A)$. Let $H$ be a closed normal subgroup of G and $\pi: G \rightarrow G/H$
Externí odkaz:
http://arxiv.org/abs/2411.17246
On the restriction maps of the Fourier and Fourier-Stieltjes algebras over locally compact groupoids
Autor:
DeGaetani, Joseph, Ghandehari, Mahya
The Fourier and Fourier-Stieltjes algebras over locally compact groupoids have been defined in a way that parallels their construction for groups. In this article, we extend the results on surjectivity or lack of surjectivity of the restriction map o
Externí odkaz:
http://arxiv.org/abs/2411.14624
Autor:
Elkiær, Emilie Mai
We show via an application of techniques from complex interpolation theory how the $L^p$-pseudofunction algebras of a locally compact group $G$ can be understood as sitting between $L^1(G)$ and $C^*(G)$. Motivated by this, we collect and review vario
Externí odkaz:
http://arxiv.org/abs/2411.07710