Essential representations of C*-correspondences

Ilan Hirshberg

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Essential representations of C*-correspondences

Ilan Hirshberg

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Abstract

Let E be a C*-correspondence over a C*-algebra \A with non-degenerate faithful left action. We show that E admits sufficiently many essential representations (i.e. representations ψsuch that ψ(E)H = H to recover the Cuntz-Pimsner algebra O_E.

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Ilan Hirshberg. 2004-11-09. Essential representations of C*-correspondences. https://arxiv.org/abs/math/0411209

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