- Title
- Exel's crossed product and relative Cuntz-Pimsner algebras
- Creator
- Brownlowe, Nathan; Raeburn, Iain
- Relation
- Mathematical Proceedings of the Cambridge Philosophical Society Vol. 141, Issue 3, p. 497-508
- Publisher Link
- http://dx.doi.org/10.1017/S030500410600956X
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2006
- Description
- We consider Exel’s new construction of a crossed product of a C*-algebra A by an endomorphism α. We prove that this crossed product is universal for an appropriate family of covariant representations, and we show that it can be realised as a relative Cuntz–Pimsner algbera. We describe a necessary and sufficient condition for the canonical map from A into the crossed product to be injective, and present several examples to demonstrate the scope of this result. We also prove a gauge-invariant uniqueness theorem for the crossed product.
- Subject
- C*-algebras; Cuntz-Pimsner algebras; Exel; crossed products
- Identifier
- http://hdl.handle.net/1959.13/926765
- Identifier
- uon:9929
- Identifier
- ISSN:0305-0041
- Language
- eng
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