Abstract
Let X be a Hilbert bimodule over a C*-algebra A. We analyse the structure of the associated Cuntz-Pimsner algebra O X and related algebras using representation-theoretic methods. In particular, we study the ideals L(I) in O x induced by appropriately invariant ideals I in A, and identify the quotients O X /L(I) as relative Cuntz-Pimsner algebras of Muhly and Solel. We also prove a gauge-invariant uniqueness theorem for O X , and investigate the relationship between O X and an alternative model proposed by Doplicher, Pinzari and Zuccante.
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