The isomorphism problem for tensor algebras of multivariable dynamical systems
Operator Algebras
2022-08-29 v2
Abstract
We resolve the isomorphism problem for tensor algebras of unital multivariable dynamical systems. Specifically we show that unitary equivalence after a conjugation for multivariable dynamical systems is a complete invariant for complete isometric isomorphisms between their tensor algebras. In particular, this settles a conjecture of Davidson and Kakariadis relating to work of Arveson from the sixties, and extends related work of Kakariadis and Katsoulis.
Cite
@article{arxiv.2101.07834,
title = {The isomorphism problem for tensor algebras of multivariable dynamical systems},
author = {Elias Katsoulis and Christopher Ramsey},
journal= {arXiv preprint arXiv:2101.07834},
year = {2022}
}
Comments
accepted version for Forum of Mathematics, Sigma