Homotopy 3-Type of Abelian C*-Algebras

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• Gregory Faurot (Ohio State University)
• Tuesday 15 July 2025, 15:25-15:45
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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-3-categories, a higher category theoretic analogue of a C-category. Given an object $C$ of a higher category, one may compute the homotopy groups of $C$ in this category. In the C-3-category $mathbf{AbCAlg}$, we decompose the first higher homotopy group of $C(T)$ as an extension of the homeomorphism group of $T$ by a subgroup of 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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