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arXiv · 2101.07834

The isomorphism problem for tensor algebras of multivariable dynamical systems

Elias Katsoulis·Christopher Ramsey
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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.

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Elias Katsoulis, Christopher Ramsey. 2021-01-19. The isomorphism problem for tensor algebras of multivariable dynamical systems. https://arxiv.org/abs/2101.07834

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