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

Publication date: 15 February 2016

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.

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Representations of (nonselfadjoint) operator algebras (47L55) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Limit algebras, subalgebras of (C^*)-algebras (47L40)

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