XXXIX Workshop on Geometric Methods in Physics | 2022 |

School on Geometry and Physics | 28.06-2.07.2021 |

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## Andrew McKee## Crossed product operator algebras and approximation propertiesIn these talks I plan to give an overview of some aspects of the study of crossed product operator algebras, formed from the action of a group on an operator algebra. I will begin by introducing group actions and the corresponding operator algebras built from these actions, in particular the group operator algebras which we obtain when the action is trivial. In the second part of the talk I will discuss the properties of operator algebras which we are interested in, namely approximation properties such as nuclearity. I will also explain how these properties have been studied for operator algebras arising from groups. In the final part I will present some results on approximation properties of crossed product operator algebras; I aim to show how the techniques we use in this work generalise existing techniques used to study operator algebras arising from groups. |

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University of Bialystok |

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