On invariant random positive definite functions
Group Theory
2018-04-30 v1 Operator Algebras
Representation Theory
Abstract
We give the definition of an invariant random positive definite function on a discrete group, generalizing both the notion of an invariant random subgroup and a character. We use von Neumann algebras to show that all invariant random positive definite functions on groups with infinite conjugacy classes which integrate to the regular character are constant.
Cite
@article{arxiv.1804.10471,
title = {On invariant random positive definite functions},
author = {Vadim Alekseev and Rahel Brugger},
journal= {arXiv preprint arXiv:1804.10471},
year = {2018}
}
Comments
13 pages