TY - JOUR
T1 - EXAMPLES OF PROPERTY (T) II1 FACTORS WITH TRIVIAL FUNDAMENTAL GROUP
AU - Chifan, Ionuţ
AU - Das, Sayan
AU - Houdayer, Cyril
AU - Khan, Krishnendu
N1 - Publisher Copyright:
© 2024 by Johns Hopkins University Press.
PY - 2024/4
Y1 - 2024/4
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85189088737
U2 - 10.1353/ajm.2024.a923239
DO - 10.1353/ajm.2024.a923239
M3 - 文章
AN - SCOPUS:85189088737
SN - 0002-9327
VL - 146
SP - 435
EP - 465
JO - American Journal of Mathematics
JF - American Journal of Mathematics
IS - 2
ER -