We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Examples of property (T) II1 factors with trivial fundamental group.
- Authors
Chifan, Ionuț; Das, Sayan; Houdayer, Cyril; Khan, Krishnendu
- Abstract
In this article we provide the first examples of property (T) II1 factors N with trivial fundamental group, F(N) = 1. Our examples arise as group factors N = 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.
- Subjects
LITERATURE
- Publication
American Journal of Mathematics, 2024, Vol 146, Issue 2, p435
- ISSN
0002-9327
- Publication type
Article
- DOI
10.1353/ajm.2024.a923239