The isomorphism problem for tensor algebras of multivariable dynamical systems

Autor:	Elias G. Katsoulis, Christopher Ramsey
Rok vydání:	2022
Předmět:	Statistics and Probability Computational Mathematics Algebra and Number Theory Discrete Mathematics and Combinatorics Geometry and Topology Mathematical Physics Analysis Theoretical Computer Science
Zdroj:	Forum of Mathematics, Sigma. 10
ISSN:	2050-5094
DOI:	10.1017/fms.2022.73
Popis:	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,Inter. Math. Res. Not.2014(2014), 1289–1311 relating to work of Arveson,Acta Math.118(1967), 95–109 from the 1960s, and extends related work of Kakariadis and Katsoulis,J. Noncommut. Geom.8(2014), 771–787.
Databáze:	OpenAIRE
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