Journal article
Wreath-Like Products of Groups and their von Neumann Algebras III: Embeddings
Communications in mathematical physics, Vol.407(2), 38
02/01/2026
DOI: 10.1007/s00220-025-05508-x
Abstract
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.
Details
- Title: Subtitle
- Wreath-Like Products of Groups and their von Neumann Algebras III: Embeddings
- Creators
- Ionuţ Chifan - University of IowaAdrian Ioana - University of California San DiegoDenis Osin - Vanderbilt UniversityBin Sun - Michigan State University
- Resource Type
- Journal article
- Publication Details
- Communications in mathematical physics, Vol.407(2), 38
- DOI
- 10.1007/s00220-025-05508-x
- ISSN
- 0010-3616
- eISSN
- 1432-0916
- Publisher
- Springer Berlin Heidelberg
- Grant note
- DMS-1854194; DMS-2154637; DMS-1854074; DMS-2153805 / Division of Mathematical Sciences (http://dx.doi.org/10.13039/100000121) AMS–Simons Travel grant (Grant agreement No. IP00672308) / American Mathematical Society (http://dx.doi.org/10.13039/100005376) DMS-1853989 / Division of Mathematical Sciences (http://dx.doi.org/10.13039/100000121)
- Language
- English
- Date published
- 02/01/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985129653202771
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