C*-envelopes of tensor algebras for multivariable dynamics
Abstract
Description
We give a new very concrete description of the C*-envelope of the tensor algebra associated to 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 a such an algebra. We also show that when the space is compact, then the C*-envelope is simple if and only if the system is minimal.
21 pages, submitted to Proceedings of the Edinburgh Mathematical Society
21 pages, submitted to Proceedings of the Edinburgh Mathematical Society