Wieler solenoids, Cuntz–Pimsner algebras and -theory

DOI10.1017/etds.2017.10zbMath1401.37015arXiv1606.05449OpenAlexW3101732384MaRDI QIDQ4962523

Michael F. Whittaker, Magnus Goffeng, Bram Mesland, Robin J. Deeley

Publication date: 5 November 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05449

zbMATH Keywords

Smale space\(K\)-theoretic invariantCuntz-Pimsner modelKubo-Martin-Schwinger weights

Mathematics Subject Classification ID

Kasparov theory ((KK)-theory) (19K35) Index theory for dynamical systems, Morse-Conley indices (37B30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items

Spectral triples on irreversible C∗-dynamical systems ⋮ Dixmier traces and residues on weak operator ideals ⋮ Homology and \(K\)-theory of dynamical systems. II: Smale spaces with totally disconnected transversal ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ Poincaré duality for Cuntz-Pimsner algebras ⋮ Shift–tail equivalence and an unbounded representative of the Cuntz–Pimsner extension ⋮ A spectral triple for a solenoid based on the Sierpinski gasket ⋮ Smale spaces from self-similar graph actions ⋮ Untwisting twisted spectral triples ⋮ Smale space $C^*$-algebras have nonzero projections ⋮ The stable algebra of a Wieler solenoid: inductive limits and -theory

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