Heat and isometries on Cuntz-Krieger algebras
Magnus Goffeng (Lund University)
Tuesday 10th December, 2024 14:00-15:00 Maths 311B
Abstract
In this talk we discuss a new construction of spectral noncommutative geometry on Cuntz-Krieger algebra building on recent advances in logarithmic Laplacians for Ahlfors regular metric measure spaces. We control their K-homology, compute the heat kernel to be a Riesz potential operator and compute its isometry group. Our hope is to convey the similarities and differences between NCG on Cuntz-Krieger algebras and manifolds.
Based on joint work with Dimitris Gerontogiannis and Bram Mesland.
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