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C*-envelopes of tensor algebras for multivariable dynamics
Published online by Cambridge University Press: 30 April 2010
Abstract
We give a new very concrete description of the C*-envelope of the tensor algebra associated to a multivariable dynamical system. In the surjective case, this C*-envelope is described as a crossed product by an endomorphism and as a groupoid C*-algebra. In the non-surjective case, it is a full corner of such an algebra. We also show that when the space is compact the C*-envelope is simple if and only if the system is minimal.
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- Copyright © Edinburgh Mathematical Society 2010
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