Generalized free wreath products and their operator algebras
Abstract
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness, and absence of Cartan subalgebra and we give a formula for Connes' ‐invariant. Finally, we give some explicit computations of K‐theory groups for C*‐algebras of generalized free wreath products.
Fields of Study & Subjects
Advanced Operator Algebra Research
Homotopy and Cohomology in Algebraic Topology
Advanced Banach Space Theory
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 6
- Publication date
- 1 June 2026
- Language
- EN