The groupoid C*-algebra of a rational map

Details The groupoid C*-algebra of a rational map The groupoid C*-algebra of a rational map

2012-02-13

arxiv.org/abs/1202.2659v1

Mathematics

Operator Algebras

40 pages

Scientific paper

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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