A tracial Nullstellensatz

作者:Klep Igor*; Spenko Spela
来源:Bulletin of the London Mathematical Society, 2014, 46(5): 1091-1098.
DOI:10.1112/blms/bdu064

摘要

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.

  • 出版日期2014-10