Zobrazeno 1 - 10
of 593
pro vyhledávání: '"Williams, Dana A."'
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
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
Given an action of a groupoid by isomorphisms on a Fell bundle (over another groupoid), we form a semidirect-product Fell bundle, and prove that its $C^{*}$-algebra is isomorphic to a crossed product.
Comment: 29 pages. Minor Expository Revision
Comment: 29 pages. Minor Expository Revision
Externí odkaz:
http://arxiv.org/abs/2105.02275
Given a free and proper action of a groupoid on a Fell bundle (over another groupoid), we give an equivalence between the semidirect-product and the generalized-fixed-point Fell bundles, generalizing an earlier result where the action was by a group.
Externí odkaz:
http://arxiv.org/abs/2105.02280
Given a normal subgroup bundle $\mathcal A$ of the isotropy bundle of a groupoid $\Sigma$, we obtain a twisted action of the quotient groupoid $\Sigma/\mathcal A$ on the bundle of group $C^*$-algebras determined by $\mathcal A$ whose twisted crossed
Externí odkaz:
http://arxiv.org/abs/2001.01312