Essential representations of C*-correspondences

Details Essential representations of C*-correspondences Essential representations of C*-correspondences

2004-11-09

arxiv.org/abs/math/0411209v1

Mathematics

Operator Algebras

9 pages

Scientific paper

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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