Journal article
Embedding universality for II1 factors with property (T)
Advances in mathematics (New York. 1965), Vol.417, 108934
03/15/2023
DOI: 10.1016/j.aim.2023.108934
Abstract
We prove that every separable tracial von Neumann algebra embeds into a II1 factor with property (T) which can be taken to have trivial outer automorphism and fundamental groups. We also establish an analogous result for the trivial extension over a non-atomic probability space of every countable p.m.p. equivalence relation. In addition, we obtain two new results concerning the structure of infinitely generic II1 factors. These results are obtained by using the class of wreath-like product groups introduced recently in [8].
Details
- Title: Subtitle
- Embedding universality for II1 factors with property (T)
- Creators
- Ionuţ Chifan - 14 MacLean Hall, Department of Mathematics, The University of Iowa, IA, 52242, USADaniel Drimbe - KU LeuvenAdrian Ioana - University of California San Diego
- Resource Type
- Journal article
- Publication Details
- Advances in mathematics (New York. 1965), Vol.417, 108934
- DOI
- 10.1016/j.aim.2023.108934
- ISSN
- 0001-8708
- eISSN
- 1090-2082
- Publisher
- Elsevier Inc
- Grant note
- 1854074 / NSF (https://doi.org/10.13039/100000001) 917874 / Simons Fellowship 12T5221N / Research Foundation Flanders (https://doi.org/10.13039/501100003130) DMS-2153805 / NSF (https://doi.org/10.13039/100000001) DMS-2154637 / NSF (https://doi.org/10.13039/100000001) 1854194 / NSF (https://doi.org/10.13039/100000001)
- Language
- English
- Date published
- 03/15/2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984375349602771
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