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math.GR2022
Positive definite maps on amenable groups, II
Mikaël Pichot, Erik Séguin
We introduce an Ulam-type stability condition for positive definite maps defined on a countable group and prove that this condition characterizes amenability.
math.GR2022
Root distributions in Moebius-Kantor complexes
Sylvain Barré, Mikaël Pichot
We study the distribution of roots of rank 2 in nonpositively curved 2-complexes with Moebius--Kantor links. For every face in such a complex, the parity of the number of roots of…
math.OA2022
Positive definite maps on amenable groups
Mikaël Pichot, Erik Séguin
We describe conditions that characterize amenability for groups in terms of positive definite functions valued in a von Neumann algebra.