Wreath-like products of groups and their von Neumann algebras III: Embeddings
- Resource Type
- Working Paper
- Authors
- Chifan, Ionut; Ioana, Adrian; Osin, Denis; Sun, Bin
- Source
- Subject
- Mathematics - Operator Algebras
Mathematics - Group Theory
- Language
For a class of wreath-like product groups with property (T), we describe explicitly all the embeddings between their von Neumann algebras. This allows us to provide a continuum of ICC groups with property (T) whose von Neumann algebras are pairwise non (stably) embeddable. We also give a construction of groups in this class only having inner injective homomorphisms. As an application, we obtain examples of group von Neumann algebras which admit only inner endomorphisms.