47 citations · 135 across the 23 of their papers we have counts for
23 papers · 1 filter
Cartan subalgebras in W*-algebras
Jean Renault
This article presents a proof of the Feldman-Moore theorem on Cartan subalgebras in W*-algebras based on the non-commutative Stone equivalence between Boolean inverse semigroups an…
Pushouts of extensions of groupoids by bundles of abelian groups
Marius Ionescu, Alex Kumjian, Jean N. Renault +2
We analyse extensions of groupoids by bundles of abelian groups. We describe a pushout construction for such extensions, and use it to describe the extension group of a…
The C*-algebra of a twisted groupoid extension
Jean Renault
This article extends the main results of the publication arXiv:2001.01312 to the case of a twisted groupoid. More precisely, it gives a decomposition of the C*-algebra of a twisted…
Continuity of the Haar dual measure
Jean Renault
Given a locally compact group bundle, we show that the system of the Plancherel weights of their C*-algebras is lower semi-continuous. As a corollary, we obtain that the dual Haar…
C*-Algebras of extensions of groupoids by group bundles
Marius Ionescu, Alex Kumjian, Jean N. Renault +2
Given a normal subgroup bundle of the isotropy bundle of a groupoid , we obtain a twisted action of the quotient groupoid on the bundle of group $C^*…
Random walks on Bratteli diagrams
Jean Renault
In the eighties, A. Connes and E. J. Woods made a connection between hyperfinite von Neumann algebras and Poisson boundaries of time dependent random walks. The present paper expla…