Steffen Kionke

activity

20172025

most citedAmenability and profinite completions of finitely generated groups

3 citations · 5 across the 11 of their papers we have counts for

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math.AT2019

Equivariant Benjamini-Schramm Convergence of Simplicial Complexes and $ℓ^{2}$ -Multiplicities

Steffen Kionke, Michael Schrödl-Baumann

We define a variant of Benjamini-Schramm convergence for finite simplicial complexes with the action of a fixed finite group G which leads to the notion of random rooted simplicial…

math.AT2018

On $p$ -adic limits of topological invariants

Steffen Kionke

The purpose of this article is to define and study new invariants of topological spaces: the $p$ -adic Betti numbers and the $p$ -adic torsion. These invariants take values in the $p…

math.AT2017★ 2 cited

The growth of Betti numbers and approximation theorems

Steffen Kionke

These short lecture notes provide a brief introduction to the field of homology growth. They are composed out of two lectures, which I have given at the Borel seminar 2017 in Les D…

Equivariant Benjamini-Schramm Convergence of Simplicial Complexes and ℓ2-Multiplicities

On p-adic limits of topological invariants

The growth of Betti numbers and approximation theorems

Equivariant Benjamini-Schramm Convergence of Simplicial Complexes and $ℓ^{2}$ -Multiplicities

On $p$ -adic limits of topological invariants