research overview
- Dr. Deeley's research involves the study of index theory and topological dynamical systems using operator algebras and noncommutative geometry/topology.
- Contact Info
Deeley, Robin John
Positions
- Associate Professor, Mathematics
Research Areas
Research
keywords
- Operator algebras, Index theory, Topological dynamics, K-theory
Publications
selected publications
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chapter
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journal article
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WIELER SOLENOIDS: NON-HAUSDORFF EXPANSIVENESS, CUNTZ-PIMSNER MODELS, AND FUNCTORIAL PROPERTIES.
Transactions of the American Mathematical Society.
7033-7074.
2025
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SYNCHRONIZING DYNAMICAL SYSTEMS: THEIR GROUPOIDS AND C*-ALGEBRAS.
Transactions of the American Mathematical Society.
3055-3093.
2024
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Classifiable C*-algebras from minimal Z-actions and their orbit-breaking subalgebras.
Mathematische Annalen.
703-729.
2024
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A counterexample to the HK-conjecture that is principal.
Ergodic Theory and Dynamical Systems.
1829-1846.
2023
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Invariants for the Smale space associated to an expanding endomorphism of a flat manifold.
M�nster Journal of Mathematics.
177-199.
2023
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Minimal homeomorphisms and topological K-theory.
Groups, Geometry, and Dynamics.
501-532.
2023
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FELL ALGEBRAS, GROUPOIDS, AND PROJECTIONS.
Proceedings of the American Mathematical Society.
4891-4907.
2022
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NON-HOMOGENEOUS EXTENSIONS OF CANTOR MINIMAL SYSTEMS.
Proceedings of the American Mathematical Society.
2081-2089.
2021
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The stable algebra of a Wieler solenoid: inductive limits and K-theory.
Ergodic Theory and Dynamical Systems.
2734-2768.
2020
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Group actions on Smale space C*-algebras.
Ergodic Theory and Dynamical Systems.
2368-2398.
2020
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SMALE SPACE C*-ALGEBRAS HAVE NONZERO PROJECTIONS.
Proceedings of the American Mathematical Society.
1625-1639.
2020
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Relative geometric assembly and mapping cones Part II: Chern characters and the Novikov property.
M�nster Journal of Mathematics.
57-92.
2019
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Relative geometric assembly and mapping cones, part I: the geometric model and applications.
Journal of Topology.
967-1001.
2018
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Wieler solenoids, Cuntz-Pimsner algebras and K-theory.
Ergodic Theory and Dynamical Systems.
2942-2988.
2018
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Constructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang-Su algebra.
Journal für die Reine und Angewandte Mathematik.
241-261.
2018
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The bordism group of unbounded KK-cycles.
Journal of Topology and Analysis.
355-400.
2018
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NUCLEAR DIMENSION AND CLASSIFICATION OF C*-ALGEBRAS ASSOCIATED TO SMALE SPACES.
Transactions of the American Mathematical Society.
3467-3485.
2018
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Index theory for manifolds with Baas-Sullivan singularities.
Journal of Noncommutative Geometry.
1-28.
2018
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Applying geometric K-cycles to fractional indices.
Mathematische Nachrichten.
2207-2233.
2017
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Realizing the analytic surgery group of Higson and Roe geometrically, part I: the geometric model.
Journal of Homotopy and Related Structures.
109-142.
2017
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Realizing the analytic surgery group of Higson and Roe geometrically part II: relative -invariants.
Mathematische Annalen.
1319-1363.
2016
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Realizing the analytic surgery group of Higson and Roe geometrically part III: higher invariants.
Mathematische Annalen.
1513-1559.
2016
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Functorial properties of Putnam's homology theory for Smale spaces.
Ergodic Theory and Dynamical Systems.
1411-1440.
2016
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Analytic and topological index maps with values in the K-theory of mapping cones.
Journal of Noncommutative Geometry.
681-708.
2016
- Dynamical correspondences for Smale spaces. New York Journal of Mathematics. 943-988. 2016
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R/Z-valued index theory via geometric K-homology.
M�nster Journal of Mathematics.
697-729.
2014
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Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism.
Journal of K-theory.
235-256.
2013
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Geometric K-homology with coefficients I: Z/kZ-cycles and Bockstein sequence.
Journal of K-theory.
537-564.
2012
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Tilted Bianchi VII0 cosmologies - the radiation bifurcation.
Classical and Quantum Gravity.
3215-3234.
2006
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WIELER SOLENOIDS: NON-HAUSDORFF EXPANSIVENESS, CUNTZ-PIMSNER MODELS, AND FUNCTORIAL PROPERTIES.
Transactions of the American Mathematical Society.
7033-7074.
2025
Background
education and training
- Ph.D., University of Victoria (Canada) 2010
- M.S., University of Victoria (Canada) 2006
- B.S., University of Waterloo (Canada) 2004
awards and honors
International Activities
geographic focus
- Australia Country
- Canada Country
- Czech Republic Country
- Denmark Country
- France Country
- Italy Country
- Netherlands Country
- Spain Country
- Sweden Country