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arxiv: math/0309420 · v1 · submitted 2003-09-25 · 🧮 math.OA

You Can See the Arrows in a Quiver Operator Algebra

classification 🧮 math.OA
keywords algebraisomorphicoperatorquiveralgebrasarrowscertaindirected
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We prove that two quiver operator algebras can be isometrically isomorphic only if the quivers (=directed graphs) are isomorphic. We also show how the graph can be recovered from certain representations of the algebra.

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