| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1898419 | Journal of Geometry and Physics | 2016 | 9 Pages |
Abstract
In this paper we generalize a theorem of M. Hilsum and G. Skandalis stating that the C∗C∗-algebra of any foliation of nonzero dimension is stable. Precisely, we show that the C∗C∗-algebra of a Lie groupoid is stable whenever the groupoid has no orbit of dimension zero. We also prove an analogous theorem for singular foliations for which the holonomy groupoid as defined by I. Androulidakis and G. Skandalis is not Lie in general.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Claire Debord, Georges Skandalis,