Zobrazeno 1 - 10
of 130
pro vyhledávání: '"46L05, 46L55"'
Autor:
Beltita, Ingrid, Beltita, Daniel
We prove that if a connected and simply connected Lie group $G$ admits connected closed normal subgroups $G_1\subseteq G_2\subseteq \cdots \subseteq G_m=G$ with $\dim G_j=j$ for $j=1,\dots,m$, then its group $C^*$-algebra has closed two-sided ideals
Externí odkaz:
http://arxiv.org/abs/2412.13923
We prove that every coaction of a compact group on a finite-dimensional $C^*$-algebra is associated with a Fell bundle. Every coaction of a compact group on a matrix algebra is implemented by a unitary operator. A coaction of a compact group on $M_n$
Externí odkaz:
http://arxiv.org/abs/2406.16839
Autor:
Amini, Massoud, Meng, Qing
We define an equivariant and equicovariant versions of the notion of module nuclearity. More precisely, for a discrete group $\Gamma$ and operator $\mathcal A$-$\Gamma$-(co)module $\mathcal B$, $\mathcal E$ over a $\Gamma$-C$^*$-algebra $\mathcal A$,
Externí odkaz:
http://arxiv.org/abs/2402.11212
Autor:
Palmstrøm, Mathias
We generalize the ideal completions of countable discrete groups, as introduced by Brown and Guentner, to second countable Hausdorff \'etale groupoids. Specifically, to every pair consisting of an algebraic ideal in the algebra of bounded Borel funct
Externí odkaz:
http://arxiv.org/abs/2311.12428
Autor:
Beltita, Ingrid, Beltita, Daniel
The Mautner groups are the 5-dimensional solvable Lie groups that have non-type-I factor representations. We show that their corresponding group $C^*$-algebras are quasi-standard and we describe the topology of their spaces of minimal primal ideals a
Externí odkaz:
http://arxiv.org/abs/2211.04424
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:
van Wyk, Daniel W., Williams, Dana P.
We show that groupoid equivalence preserves a number of groupoid properties such as properness or the property of being topologically principal.
Externí odkaz:
http://arxiv.org/abs/2203.15620
If $p \colon \mathcal B\to G$ is a Fell bundle over an \'etale groupoid, then we show that there is an norm reducing injective linear map $j \colon C^*_r(G;\mathcal B)\to \Gamma_{0}(G;\mathcal B)$ generalizing the well know map $j \colon C^*_{r}(G)\t
Externí odkaz:
http://arxiv.org/abs/2203.01165
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:
van Wyk, Daniel W., Williams, Dana P.
We study the topology of the primitive ideal space of groupoid C*-algebras for groupoids with abelian isotropy. Our results include the known results for action groupoids with abelian stabilizers. Furthermore, we obtain complete results when the isot
Externí odkaz:
http://arxiv.org/abs/2108.02277