Journal article
Examples of property (T) II1 factors with trivial fundamental group
American journal of mathematics, Vol.146(2), pp.435-465
04/01/2024
DOI: 10.1353/ajm.2024.a923239
Abstract
In this article we provide the first examples of property (T) $\mathrm{II}_1$ factors $\mathcal{N}$ with trivial fundamental group, $\mathcal{F}(\mathcal{N})=1$. Our examples arise as group factors $\mathcal{N}=\mathcal{L}(G)$ where $G$ belong to two distinct families of property (T) groups previously studied in the literature: the groups introduced by Valette in [Geom. Dedicata 112 (2005), 183--196] and the ones introduced recently in [Anal. PDE 16 (2023), 433--476] using the Belegradek-Osin Rips construction from [Groups Geom. Dyn. 2 (2008), 1--12]. In particular, our results provide a continuum of explicit pairwise nonisomorphic property (T) factors.
Details
- Title: Subtitle
- Examples of property (T) II1 factors with trivial fundamental group
- Creators
- Ionuţ ChifanSayan DasCyril HoudayerKrishnendu Khan
- Resource Type
- Journal article
- Publication Details
- American journal of mathematics, Vol.146(2), pp.435-465
- Publisher
- Johns Hopkins University Press
- DOI
- 10.1353/ajm.2024.a923239
- ISSN
- 0002-9327
- eISSN
- 1080-6377
- Language
- English
- Date published
- 04/01/2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984580299802771
Metrics
1 Record Views