Affiliation:
1. Department of mathematics Ben Gurion University of the Negev Be'er Sheva Israel
Abstract
AbstractThis paper is concerned with the noncommutative analog of the normal subgroup theorem for certain groups. Inspired by Kalantar and Panagopoulos (arXiv:2108.02928, 2021, 16), we show that all ‐invariant subalgebras of and are (‐)coamenable. The groups we work with satisfy a singularity phenomenon described by Bader et al. (Invent. Math. 229 (2022), 929–985). The setup of singularity allows us to obtain a description of ‐invariant intermediate von Neumann subalgebras in terms of the normal subgroups of .
Funder
Israel Science Foundation