Zobrazeno 1 - 10
of 609
pro vyhledávání: '"Williams, Dana A."'
Autor:
Huef, Astrid an, Williams, Dana P.
We characterise when the C*-algebra $C^*(G)$ of a locally compact and Hausdorff groupoid $G$ is subhomogeneous, that is, when its irreducible representations have bounded finite dimension; if so we establish a bound for its nuclear dimension in terms
Externí odkaz:
http://arxiv.org/abs/2412.10241
We use the Ladder Technique to establish bijections between the ideals of related Fell bundles.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2410.22533
We present a new method of establishing a bijective correspondence - in fact, a lattice isomorphism - between action- and coaction-invariant ideals of C*-algebras and their crossed products by a fixed locally compact group. It is known that such a co
Externí odkaz:
http://arxiv.org/abs/2406.06780
Well-known work of Renault shows that if $\mathcal{E}$ is a twist over a second countable, effective, \'etale groupoid $G$, then there is a naturally associated Cartan subalgebra of the reduced twisted groupoid C*-algebra $C^*_{r}(G; E)$, and that ev
Externí odkaz:
http://arxiv.org/abs/2403.15255
Publikováno v:
J. Aust. Math. Soc. 117 (2024) 288-307
We establish a generalized Rieffel correspondence for ideals in equivalent Fell bundles.
Comment: 20 pages, fixed typo
Comment: 20 pages, fixed typo
Externí odkaz:
http://arxiv.org/abs/2309.12116
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:
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
We analyse extensions $\Sigma$ of groupoids $G$ by bundles $A$ of abelian groups. We describe a pushout construction for such extensions, and use it to describe the extension group of a given groupoid $G$ by a given bundle $A$. There is a natural act
Externí odkaz:
http://arxiv.org/abs/2107.05776