Dynamical correspondences of $L^2$-Betti numbers
Dynamical Systems
2021-03-02 v2 Algebraic Topology
Group Theory
Rings and Algebras
Abstract
We investigate dynamical analogues of the -Betti numbers for modules over integral group ring of a discrete sofic group. In particular, we show that the -Betti numbers exactly measure the failure of addition formula for dynamical invariants.
Cite
@article{arxiv.1702.04416,
title = {Dynamical correspondences of $L^2$-Betti numbers},
author = {Bingbing Liang},
journal= {arXiv preprint arXiv:1702.04416},
year = {2021}
}
Comments
The main result is reformulated a little bit and the proof is more self-contained