Factoriality of groupoid von Neumann algebras
Abstract
We give a characterisation of the factoriality of the groupoid\break von Neumann algebra L(G) associated to a discrete measured groupoid (G,μ). We introduce the notion of groupoids with ``infinite conjugacy classes'' and show that this property together with ergodicity of the groupoid is equivalent with factoriality of L(G).
Fields of Study & Subjects
Advanced Operator Algebra Research
Holomorphic and Operator Theory
Advanced Banach Space Theory
Publication details
- Journal / source
- Journal of Operator Theory
- Volume
- 95
- Issue
- 1
- Pages
- 21–49
- Publication date
- 1 March 2026
- Language
- EN