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arxiv: math/0411209 · v1 · submitted 2004-11-09 · 🧮 math.OA

Essential representations of C*-correspondences

classification 🧮 math.OA
keywords representationsalgebraessentialactionadmitscorrespondencecorrespondencescuntz-pimsner
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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 \psi such that \psi(E)H = H to recover the Cuntz-Pimsner algebra O_E.

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