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The Zappa–Szép product of groupoid twists

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  • UserAnna Duwenig (University of New South Wales)
  • ClockTuesday 15 July 2025, 11:15-11:55
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TGAW02 - C*-algebras: classification and dynamical constructions

The Zappa–Szép (ZS) product of two groupoids is a generalization of the semi-direct product: instead of encoding one groupoid action by homomorphisms, the ZS product groupoid encodes two (non-homomorphic, but “compatible”) actions of the groupoids on each other. Together with my collaborator Boyu Li, I have been working on various ways of generalizing this construction to the world of C*-algebras. In this talk, I will introduce you to our generalization of the ZS product to two twists over groupoids and, if time permits, I will show how our construction ties in with Weyl twists from Cartan pairs arising from Kumjian—Renault theory.  Based on joint work with Boyu Li, New Mexico State University.

This talk is part of the Isaac Newton Institute Seminar Series series.

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