Zobrazeno 1 - 10
of 30
pro vyhledávání: '"46L55, 37A55"'
Autor:
Palmstrøm, Mathias
We consider a class of partial action groupoids called double groupoids which are constructed from pairs of subgroups satisfying similar conditions to those of a matched pair of groups. If the double groupoid is \'etale, then we show that whenever th
Externí odkaz:
http://arxiv.org/abs/2404.11297
Given a dynamical system $(X, \Gamma)$, the corresponding crossed product $C^*$-algebra $C(X)\rtimes_{r}\Gamma$ is called reflecting, when every intermediate $C^*$-algebra $C^*_r(\Gamma)<\mathcal{A} < C(X)\rtimes_{r}\Gamma$ is of the form $\mathcal{A
Externí odkaz:
http://arxiv.org/abs/2404.09803
Autor:
Amrutam, Tattwamasi, Bassi, Jacopo
Publikováno v:
Pacific J. Math. 331 (2024) 1-22
Let $\Gamma$ be a discrete group acting on a compact Hausdorff space $X$. Given $x\in X$, and $\mu\in\text{Prob}(X)$, we introduce the notion of contraction of $\mu$ towards $x$ with respect to unitary elements of a group von Neumann algebra not nece
Externí odkaz:
http://arxiv.org/abs/2403.05948
Given a unital $C(X)$-algebra $A$ discrete group $\Gamma$ and an action $\alpha: \Gamma\to \text{aut}(A)$ which leaves $C(X)$ invariant and such that $C(X)\rtimes_{\alpha,r} \Gamma$ is simple, and a $2$-cocycle $\omega$, we obtain a bijective corresp
Externí odkaz:
http://arxiv.org/abs/2312.07702
We study the relationship between the dynamics of the action $\alpha$ of a discrete group $G$ on a von Neumann algebra $M$, and structural properties of the associated crossed product inclusion $L(G) \subseteq M \rtimes_\alpha G$, and its intermediat
Externí odkaz:
http://arxiv.org/abs/2308.02735
Let $\Gamma$ be a countable group and $(X, \Gamma)$ a compact topological dynamical system. We study the question of the existence of an intermediate $C^*$-subalgebra $\mathcal{A}$ $$C^{*}_{r}(\Gamma)<\mathcal{A}
Externí odkaz:
http://arxiv.org/abs/2306.14278
Autor:
Bruce, Chris, Li, Xin
Publikováno v:
Journal of Functional Analysis 286 (2024), no. 4, Paper No. 110263, 57 pp
We provide a framework for studying concrete C*-algebras associated with algebraic actions of semigroups: Given such an action, we construct an inverse semigroup, and we introduce conditions for algebraic actions that characterize Hausdorffness, topo
Externí odkaz:
http://arxiv.org/abs/2209.05823
Autor:
Li, Xin
We study topological full groups attached to groupoid models for left regular representations of Garside categories. Groups arising in this way include Thompson's group $V$ and many of its variations such as R\"over-Nekrashevych groups. Our key obser
Externí odkaz:
http://arxiv.org/abs/2110.04505
Autor:
Li, Xin
We initiate the study of C*-algebras and groupoids arising from left regular representations of Garside categories, a notion which originated from the study of Braid groups. Every higher rank graph is a Garside category in a natural way. We develop a
Externí odkaz:
http://arxiv.org/abs/2110.04501
In this paper, we introduce actions of fusion algebras on unital $C^*$-algebras, and define amenability for fusion algebraic actions. Motivated by S.\ Neshveyev et al.'s work, considering the co-representation ring of a compact quantum group as a fus
Externí odkaz:
http://arxiv.org/abs/2105.05420