A tracial Nullstellensatz
Rings and Algebras
2018-04-27 v1 Functional Analysis
Abstract
The main result of this note is a tracial Nullstellensatz for free noncommutative polynomials evaluated at tuples of matrices of all sizes: Suppose f_1,...,f_r,f are free polynomials, and tr(f) vanishes whenever all tr(f_j) vanish. Then either 1 or f is a linear combination of the f_j modulo sums of commutators.
Cite
@article{arxiv.1311.1538,
title = {A tracial Nullstellensatz},
author = {Igor Klep and Špela Špenko},
journal= {arXiv preprint arXiv:1311.1538},
year = {2018}
}
Comments
8 pages