Exel's crossed product for non-unital C*-algebras
Operator Algebras
2015-05-13 v1
Abstract
We consider a family of dynamical systems (A,alpha,L) in which alpha is an endomorphism of a C*-algebra A and L is a transfer operator for \alpha. We extend Exel's construction of a crossed product to cover non-unital algebras A, and show that the C*-algebra of a locally finite graph can be realised as one of these crossed products. When A is commutative, we find criteria for the simplicity of the crossed product, and analyse the ideal structure of the crossed product.
Keywords
Cite
@article{arxiv.0908.2671,
title = {Exel's crossed product for non-unital C*-algebras},
author = {Nathan Brownlowe and Iain Raeburn and Sean T. Vittadello},
journal= {arXiv preprint arXiv:0908.2671},
year = {2015}
}
Comments
22 pages