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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