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Paper detail

The isomorphism problem for tensor algebras of multivariable dynamical systems

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.

preprint2022arXivOpen access
Elias KatsoulisChristopher Ramsey
math.OA
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Elias KatsoulisChristopher Ramsey

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