Work

Generalized free wreath products and their operator algebras

Year: 2026

Type: article

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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70595

Authors: Pierre Fima, Arthur Troupel

Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Centre National de la Recherche Scientifique