Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms
Abstract
Given a countable group G, let L(G) denote its von Neumann algebra. For a wide class of infinite conjugacy classes (ICC) groups with Kazhdan’s property (T), we confirm V. F. R. Jones’ conjecture asserting that Out(L(G))≅Char(G)⋊Out(G). As an application, we show that, for every countable group Q, there exists an ICC group G with property (T) such that Out(L(G))≅Q.
Fields of Study & Subjects
Advanced Operator Algebra Research
Finite Group Theory Research
Geometric and Algebraic Topology
Publication details
- Journal / source
- Duke Mathematical Journal
- Volume
- 175
- Issue
- 2
- Pages
- 287–359
- Publication date
- 1 February 2026
- Language
- EN