2 papers
math.GR2024
Some invariants of totally disconnected locally compact groups: cohomology and combinatorics
Ilaria Castellano, Bianca Marchionna, Thomas Weigel
The paper investigates two invariants for totally disconnected locally compact groups: the number of ends and the rational discrete cohomological dimension. For such a compactly ge…
math.GR2024
The Hattori-Stallings rank, the Euler-Poincaré characteristic and zeta functions of totally disconnected locally compact groups
Ilaria Castellano, Gianmarco Chinello, Thomas Weigel
For a unimodular totally disconnected locally compact group we introduce and study an analogue of the Hattori-Stallings rank for a finitely generate…