- Title
- Representations of Cuntz-Pimsner algebras
- Creator
- Fowler, Neal J.; Muhly, Paul S.; Raeburn, Iain
- Relation
- Indiana University Mathematics Journal Vol. 52, Issue 3, p. 569-605
- Publisher Link
- http://dx.doi.org/10.1512/iumj.2003.52.2125
- Publisher
- Indiana University, Dept of Mathematics
- Resource Type
- journal article
- Date
- 2003
- Description
- Let X be a Hilbert bimodule over a C*-algebra A. We analyse the structure of the associated Cuntz-Pimsner algebra OX and related algebras using representation-theoretic methods. In particular, we study the ideals I(I) in OX induced by appropriately invariant ideals I in A, and identify the quotients OX/I(I) as relative Cuntz-Pimsner algebras of Muhly and Solel. We also prove a gauge-invariant uniqueness theorem for OX, and investigate the relationship between OX and an alternative model proposed by Doplicher, Pinzari and Zuccante.
- Subject
- Hilbert bimodule; representation theoretic methods; Cuntz-Pimsner algebras
- Identifier
- uon:6494
- Identifier
- http://hdl.handle.net/1959.13/803742
- Identifier
- ISSN:0022-2518
- Reviewed
- Hits: 1961
- Visitors: 1903
- Downloads: 2
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