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math.KT2023
The K-theory of the C*-algebras associated to rational functions
Jeremy B. Hume
We compute the K-theory of the three C*-algebras associated to a rational function R acting on the Riemann sphere, its Fatou set, and its Julia set. The latter C*-algebra is a unit…
math.KT2023
KK-duality for self-similar groupoid actions on graphs
Nathan Brownlowe, Alcides Buss, Daniel Gonçalves +3
We extend Nekrashevych's -duality for -algebras of regular, recurrent, contracting self-similar group actions to regular, contracting self-similar groupoid actions on a gr…