Daniel Goncalves (Universidade Federal de Santa Catarina)
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In this talk we show how to obtain representations of graph algebras from branching systems and show how these representations connect to the Perron-Frobenius operator from Ergodic Theory. We also describe a sufficient condition that guarantees faithfulness of our representations and show how to use these representations to give a new proof to the converse of the Cuntz-Krieger Uniqueness Theorem for graph algebras (including Leavitt path algebras).
Representations of graph algebras via branching systems Sponsored by the Meyer Fund
Representations of graph algebras via branching systems