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arXiv · 1202.2659

The groupoid C*-algebra of a rational map

Klaus Thomsen
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Abstract

This paper contains a quite detailed description of the C*-algebra arising from the transformation groupoid of a rational map of degree at least two on the Riemann sphere. The algebra is decomposed stepwise via extensions of familiar C*-algebras whose nature depend on the structure of the Julia set and the stable regions in the Fatou set, as well as on the behaviour of the critical points.

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Klaus Thomsen. 2012-02-13. The groupoid C*-algebra of a rational map. https://arxiv.org/abs/1202.2659

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