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The Automorphism Groups of $\mathbf{CHaus}$

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  • UserGregory Faurot (Ohio State University)
  • ClockTuesday 15 July 2025, 15:25-15:45
  • HouseExternal.

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TGAW02 - C*-algebras: classification and dynamical constructions

C-categories have a rich history in the study of C-algebras, going back to work of Rieffel in the 1970s. Recent work of Ferrer provides a framework for C-tricategories, a higher category theoretic analogue of a C-category. Given an object $C$ of a higher category, one may compute the group of automorphisms of $C$ up to (higher) equivalence. In the C-tricategory $\normalfont\mathbf{CHaus}$, we construct the higher automorphism group of a compact Hausdorff space $T$ as an extension of the homeomorphism group of $T$ by its third cohomology group. This work is joint with Giovanni Ferrer.

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

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