The ideal intersection property for partial reduced crossed products

The ideal intersection property for partial reduced crossed products

The ideal intersection property for partial reduced crossed products

Wednesday, January 29, 2025
  • Lecturer: Larissa Kroell (University of Waterloo)
  • Organizer: Adam Dor-On and Orr Shalit
  • Location: Amado 814 and Zoom
  • Zoom: Zoom Link
Abstract:
Given a C*-dynamical system, a fruitful avenue to study its properties has been to study the dynamics on its injective envelope. This approach relies on the result of Kalantar and Kennedy (2017), who show that C*-simplicity can be characterized via the Furstenberg boundary using G-injective envelope techniques. In this talk, we will discuss consequences of this idea for partial C*-dynamical systems. In particular, we introduce partial G-injective envelopes and generalize techniques for ordinary C*-dynamical systems given in Kennedy and Schafhauser (2019) to partial C*-dynamical systems. As an application of this machinery, we give a characterization of the ideal intersection property for partial C*-dynamical systems. This is joint work with Matthew Kennedy and Camila Sehnem.
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