arXiv subjects

Michael Schrödl

Publications and source records attributed to Michael Schrödl.

2 recordsLinked to original sources

arXiv2019

$\ell^2$-Betti numbers of random rooted simplicial complexes

We define unimodular measures on the space of rooted simplicial complexes and associate to each measure a chain complex and a trace function. As a consequence, we can define $\ell^2$-Betti numbers of unimodular random rooted simplicial complexes and show that they are continuous under Benjamini-Schramm convergence.

math.AT↗

arXiv2018

Vanishing of $\ell^2$-Betti numbers of locally compact groups as an invariant of coarse equivalence

We provide a proof that the vanishing of $\ell^2$-Betti numbers of unimodular locally compact second countable groups is an invariant of coarse equivalence.

math.AT↗