Dynamical correspondences of -Betti numbers

  • Bingbing Liang

    Max-Planck-Institut für Mathematik, Bonn, Germany
Dynamical correspondences of $L^2$-Betti numbers cover

A subscription is required to access this article.


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 this article

Bingbing Liang, Dynamical correspondences of -Betti numbers. Groups Geom. Dyn. 13 (2019), no. 1, pp. 89–106

DOI 10.4171/GGD/480