C^*-Algebras associated with complex dynamical systems

DOI10.1512/iumj.2005.54.2530zbMath1082.46045arXivmath/0309293OpenAlexW2015272547MaRDI QIDQ5316027

Yasuo Watatani, Tsuyoshi Kajiwara

Publication date: 12 September 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309293

zbMATH Keywords

Julia setCuntz-Pimsner algebraKMS stateLyubich measure

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (14)

On the Exel crossed product of topological covering maps ⋮ Commutativity and ideals in strongly graded rings. ⋮ \(C^*\)-algebras associated with complex dynamical systems and backward orbit structure ⋮ C*-algebras generated by multiplication operators and composition operators by functions with self-similar branches ⋮ The groupoid \(C^\ast\)-algebra of a rational map ⋮ Quotient algebras of Toeplitz-composition \(C^\ast\)-algebras for finite Blaschke products ⋮ Toeplitz-composition $C^{*}$-algebras for certain finite Blaschke products ⋮ KMS states and conformal measures ⋮ Maximal abelian subalgebras of \(C^\ast\)-algebras associated with complex dynamical systems and self-similar maps ⋮ KMS states and branched points ⋮ A von Neumann algebraic approach to self-similar group actions ⋮ C*-algebras and self-similar groups ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ C*-algebras associated with interval maps

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