Piecewise conjugacy for multivariable dynamics over the Jacobson spectrum of a C*-algebra

Elias Katsoulis

Piecewise conjugacy for multivariable dynamics over the Jacobson spectrum of a C*-algebra

Operator Algebras 2016-02-16 v1

Authors: Elias Katsoulis

Abstract

We show that if (A,a) and (B,b) are automorphic multivariable C*-dynamical systems with isometrically isomorphic tensor algebras (or semi crossed products), then the systems are piecewise conjugate over their Jacobson spectrum. This answers a question of Kakariadis and the author.

Keywords

multivariable C*-dynamical systems tensor algebras semi crossed products Jacobson spectrum piecewise conjugacy automorphic systems

Cite

@article{arxiv.1602.04760,
  title  = {Piecewise conjugacy for multivariable dynamics over the Jacobson spectrum of a C*-algebra},
  author = {Elias Katsoulis},
  journal= {arXiv preprint arXiv:1602.04760},
  year   = {2016}
}

Comments

4 pages, very short article observing that a problem from an earlier paper has a positive solution

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