C*-envelopes of tensor algebras for multivariable dynamics
Operator Algebras
2008-12-02 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0812.0096,
title = {C*-envelopes of tensor algebras for multivariable dynamics},
author = {K. R. Davidson and J. Roydor},
journal= {arXiv preprint arXiv:0812.0096},
year = {2008}
}
Comments
21 pages, submitted to Proceedings of the Edinburgh Mathematical Society