In:
Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press (CUP), Vol. 149, No. 3 ( 2010-11), p. 423-444
Abstract:
We consider a family of dynamical systems ( A , α, L ) in which α is an endomorphism of a C *-algebra A and L is a transfer operator for α. 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.
Type of Medium:
Online Resource
ISSN:
0305-0041
,
1469-8064
DOI:
10.1017/S030500411000037X
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
2010
detail.hit.zdb_id:
1483586-1
detail.hit.zdb_id:
209201-3
SSG:
17,1
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