On fixed points of self maps of the free ball
Operator Algebras
2018-12-27 v2 Complex Variables
Abstract
In this paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ball with a linear subspace. We provide an application for the completely isometric isomorphism problem of multiplier algebras of noncommutative complete Pick spaces.
Keywords
Cite
@article{arxiv.1709.00446,
title = {On fixed points of self maps of the free ball},
author = {Eli Shamovich},
journal= {arXiv preprint arXiv:1709.00446},
year = {2018}
}