Nadia Larsen - Crossed products by abelian semigroups via transfer operators

In the talk we describe a generalisation of Exel's crossed product by a single endomorphism and a transfer operator to the case of actions of abelian semigroups of endomorphisms and associated transfer operators. The technical machinery involved builds on Fowler's theory of Toeplitz and Cuntz-Pimsner algebras of discrete product systems of Hilbert bimodules, and uses a natural notion of relative Cuntz-Pimsner algebras of such product systems.

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