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arxiv: 1212.5963 · v2 · pith:HVAIJMJYnew · submitted 2012-12-24 · 🧮 math.OA · math.DS

Interactions and dynamical systems of type (n,m) - A case study

classification 🧮 math.OA math.DS
keywords interactionalgebradynamicalcasecommutativecrossed-productequivalencegroup
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We prove that the C*-algebra of the universal (n,m)-dynamical system may be obtained, up to Morita-Rieffel equivalence, as the crossed-product relative to an interaction on a commutative C*-algebra. The interaction involved is shown not to be part of an interaction group.

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