Twisted $L^2$-Betti numbers of sofic groups
Group Theory
2024-03-15 v2
Abstract
Wolfang L\"uck asked if twisted -Betti numbers of a group are equal to the usual -Betti numbers rescaled by the dimension of the twisting representation. We confirm this for sofic groups.
Keywords
Cite
@article{arxiv.2201.03268,
title = {Twisted $L^2$-Betti numbers of sofic groups},
author = {Jan Boschheidgen and Andrei Jaikin-Zapirain},
journal= {arXiv preprint arXiv:2201.03268},
year = {2024}
}
Comments
8 Pages, accepted for publication in the Bulletin of the London Mathematical Society