H. Petersen

activity

20072016

most citedL^2-Betti Numbers of Locally Compact Groups

16 citations · 38 across the 6 of their papers we have counts for

collaborators

Showing 2012 · math.GRShow all

2 papers · 2 filters

math.GR2012

An obstruction to $ℓ^{p}$ -dimension

Nicolas Monod, Henrik Densing Petersen

For any group $G$ containing an infinite elementary amenable subgroup, and any $2 < p < \infty$ , there exists closed invariant subspaces $E_{i} ↗ ℓ^{p} G$ and $F \neq = 0$ such that $…

math.GR2012

A groupoid approach to Lück's amenability conjecture

David Kyed, Henrik Densing Petersen

We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring inclusions naturally associated with measure preserving actions of the group. This…

An obstruction to ℓp-dimension

A groupoid approach to Lück's amenability conjecture

An obstruction to $ℓ^{p}$ -dimension