On fixed points of self maps of the free ball

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Date

2018-07-01

Authors

Shamovich, Eli

Advisor

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Volume Title

Publisher

Elsevier

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.

Description

The final publication is available at Elsevier via https://dx.doi.org/10.1016/j.jfa.2018.03.004 © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/

Keywords

Noncommutative functions, Operator algebras, Complete Pick spaces, Free ball

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