Author:
Katsoulis Elias G.,Ramsey Christopher
Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Cited by
3 articles.
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