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Download E urated invariant ideal, on which the correspondence is not sup-
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Abstract. For a general C*-correspondence E a canonical saturated invariant ideal, on which the correspondence is not supported, is identified. The quotient correspondence is formed and the Cuntz–Pimsner C*-algebra of it is identified both as a relative Cuntz–Pimsner algebra for E, and as a quotient of the Cuntz– Pimsner algebra for E. For the C*-correspondence arising from a topological quiver this process amounts to restricting the base space of vertices to the closed subspace supporting the space of edges.
