2 papers
math.GR2026
A CAT(0) alternative for amenable groups and a Kazhdan-type rigidity principle
Hiroyasu Izeki, Ran Ji, Anders Karlsson +1
We prove that finitely generated amenable groups acting on CAT(0) spaces satisfy the following alternative: either every action on a geodesically complete CAT(0) space with bounded…
math.GR2024
Torsion groups of subexponential growth cannot act on finite-dimensional CAT(0)-spaces without a fixed point
Hiroyasu Izeki, Anders Karlsson
We show that finitely generated groups which are Liouville and without infinite finite-dimensional linear representations must have a global fixed point whenever they act by isomet…