Higher Kazhdan projections and delocalised ℓ2-Betti numbers
Abstract
We provide an explicit description of the K-classes of higher Kazhdan projections in degrees greater than 0 for specific free product groups and Cartesian product groups. Employing this description, we obtain new calculations of Lott's delocalised $\ell^2$-Betti numbers. Notably, we establish the first non-vanishing results for infinite groups.
Fields of Study & Subjects
Advanced Mathematical Identities
Advanced Mathematical Theories and Applications
Mathematical functions and polynomials
Publication details
- Journal / source
- Annals of K-Theory
- Volume
- 11
- Issue
- 3
- Pages
- 395–418
- Publication date
- 19 May 2026
- Language
- EN