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pro vyhledávání: '"totally disconnected"'
In several instances, the invariants of compactly generated totally disconnected locally compact groups acting on locally finite buildings can be conveniently described via invariants of the Coxeter group representing the type of the building. For ce
Externí odkaz:
http://arxiv.org/abs/2408.15716
For a unimodular totally disconnected locally compact group $G$ we introduce and study an analogue of the Hattori-Stallings rank $\tilde{\rho}(P)\in\mathbf{h}_G$ for a finitely generated projective rational discrete left $\mathbb Q[G]$-module $P$. He
Externí odkaz:
http://arxiv.org/abs/2405.08105
In this paper, we explore Fourier analysis for noncommutative $L_p$ space-valued functions on $G$, where $G$ is a totally disconnected non-abelian compact group. By additionally assuming that the value of these functions remains invariant within each
Externí odkaz:
http://arxiv.org/abs/2403.09263
Autor:
Jiang, Huiqun, Liu, Yue
Let $\dot{\mathscr{B}}\triangleq \dot{\mathscr{B}}_{\dot{H}, \mu}$ denote an arbitrary signed bipartite graph with $\dot{H}$ as a star complement for an eigenvalue $\mu$, where $\dot{H}$ is a totally disconnected graph of order $s$. In this paper, by
Externí odkaz:
http://arxiv.org/abs/2312.15990
Autor:
Arimoto, Ryoya
We prove that if a totally disconnected locally compact group admits a topologically free boundary, then the reduced crossed product of continuous functions on its Furstenberg boundary by the group is simple. We also prove a partial converse of this
Externí odkaz:
http://arxiv.org/abs/2312.15754
Akademický článek
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Autor:
Lai, Chun-Kit, Patil, Lekha Priya
We study an extreme scenario of the Mastrand projection theorem for which a fractal has the property that its orthogonal projection is the same as the orthogonal projection of its convex hull. We extend results in current literature and establish che
Externí odkaz:
http://arxiv.org/abs/2309.14577
Autor:
Silva, João V. P. e
The article focuses on a class of second countable groups assembled from profinite and discrete by elementary operations. We focus on a rank associated with these groups that measure their complexity, the decomposition rank. A collection of groups ac
Externí odkaz:
http://arxiv.org/abs/2310.13239
Autor:
Cavallucci, Nicola
We give a detailed description of the possible limits in the equivariant-Gromov-Hausdorff sense of sequences $(X_j,G_j)$, where the $X_j$'s are proper, geodesically complete, uniformly packed, CAT$(0)$-spaces and the $G_j$'s are closed, totally disco
Externí odkaz:
http://arxiv.org/abs/2307.05640
Autor:
Bartels, Arthur, Lueck, Wolfgang
In this paper we formulate and lay the foundations for the K-theoretic Farrell-Jones Conjecture for the Hecke algebra of totally disconnected groups. The main result of his paper is the proof that it passes to closed subgroups. Moreover, we carry out
Externí odkaz:
http://arxiv.org/abs/2306.01518