Representations of Cuntz-Pimsner algebras

Authors

Neal J. Fowler, University of Newcastle
Paul S. Muhly, University of Iowa
Iain Raeburn, University of WollongongFollow

RIS ID

18809

Publication Details

Fowler, N. J., Muhly, P. S. & Raeburn, I. F. (2003). Representations of Cuntz-Pimsner algebras. Indiana University Mathematics Journal, 52 (3), 569-605.

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.