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of 17
pro vyhledávání: '"22A22, 46L55"'
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
Autor:
Alekseev, Vadim, Finn-Sell, Martin
We provide a unified treatment of several results concerning full groups of ample groupoids and paradoxical decompositions attached to them. This includes a criterion for the full group of an ample groupoid being amenable as well as comparison of its
Externí odkaz:
http://arxiv.org/abs/1912.10767
Autor:
Austin, Kyle, Zhang, Jiawen
We extend the symbol calculus and study the limit operator theory for $\sigma$-compact, \'{e}tale and amenable groupoids, in the Hilbert space case. This approach not only unifies various existing results which include the cases of exact groups and d
Externí odkaz:
http://arxiv.org/abs/1903.08442
Publikováno v:
Lecture Notes in Mathematics, vol. 2306, Springer, 2022
Given a not-necessarily Hausdorff, topologically free, twisted \'etale groupoid $(G, L)$, we consider its "essential groupoid C*-algebra", denoted $C^*_{ess}(G, L)$, obtained by completing $C_c(G, L)$ with the smallest among all C*-seminorms coincidi
Externí odkaz:
http://arxiv.org/abs/1901.09683
We present an operator-algebraic approach to the quantization and reduction of lattice field theories. Our approach uses groupoid C*-algebras to describe the observables and exploits Rieffel induction to implement the quantum gauge symmetries. We int
Externí odkaz:
http://arxiv.org/abs/1705.03815
Autor:
Alekseev, Vadim, Finn-Sell, Martin
Publikováno v:
Int. Math. Res. Notices, Volume 2018, Issue 8, 2332-2340
We construct examples of principal groupoids that have weak containment but are not amenable, thus answering questions by Claire Anantharaman-Delaroche and Rufus Willett.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/1606.07499
Autor:
Beltita, Ingrid, Beltita, Daniel
In this paper we develop a groupoid approach to some basic topological properties of dual spaces of solvable Lie groups using suitable dynamical systems related to the coadjoint action. One of our main results is that the coadjoint dynamical system o
Externí odkaz:
http://arxiv.org/abs/1512.00558
Autor:
Exel, Ruy, Starling, Charles
We say that an action of a countable discrete inverse semigroup on a locally compact Hausdorff space is amenable if its groupoid of germs is amenable in the sense of Anantharaman-Delaroche and Renault. We then show that for a given inverse semigroup
Externí odkaz:
http://arxiv.org/abs/1411.2506
Autor:
Kyle Austin, Jiawen Zhang
We extend the symbol calculus and study the limit operator theory for $\sigma$-compact, \'{e}tale and amenable groupoids, in the Hilbert space case. This approach not only unifies various existing results which include the cases of exact groups and d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63f350f88251ac6864edaeafe0cbf7a1
Autor:
Alekseev, Vadim, Finn-Sell, Martin
We provide a unified treatment of several results concerning full groups of ample groupoids and paradoxical decompositions attached to them. This includes a criterion for the full group of an ample groupoid being amenable as well as comparison of its
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ae995966956e425275a3fb7b926270c