Exel's crossed product and relative Cuntz-Pimsner algebras

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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