Journal article
Representations of Cuntz-Pimsner algebras
Indiana University mathematics journal, Vol.52(3), pp.569-605
2003
DOI: 10.1512/iumj.2003.52.2125
Abstract
Let X be a Hilbert bimodule over a C * -algebra A. We analyse the structure of the associated Cuntz-Pimsner algebra X and related algebras using representation-theoretic methods. In particular, we study the ideals (I) in X induced by appropriately invariant ideals I in A, and identify the quotients X /(I) as relative Cuntz-Pimsner algebras of Muhly and Solel. We also prove a gauge-invariant uniqueness theorem for X , and investigate the relationship between X and an alternative model proposed by Doplicher, Pinzari and Zuccante.
Details
- Title: Subtitle
- Representations of Cuntz-Pimsner algebras
- Creators
- Neal J FOWLER - 3316 179th Avenue NE, Redmond, WA 98052, United StatesPaul S MUHLY - Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, United StatesIain RAEBURN - Department of Mathematics, University of Newcastle, NSW 2308, Australia
- Resource Type
- Journal article
- Publication Details
- Indiana University mathematics journal, Vol.52(3), pp.569-605
- Publisher
- Indiana University
- DOI
- 10.1512/iumj.2003.52.2125
- ISSN
- 0022-2518
- eISSN
- 1943-5258
- Language
- English
- Date published
- 2003
- Academic Unit
- Statistics and Actuarial Science; Mathematics
- Record Identifier
- 9984083213302771
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