ArXiv Preprints (submitted)
- Wieler solenoids: non-Hausdorff expansiveness, Cuntz-Pimsner models, and functorial properties joint with M. Eryuzlu, M. Goffeng, and A. Yashinski
Papers
- The rational HK-conjecture: transformation groupoids and a revised version joint with R. Willett (accepted Muenster Journal of Math)
- Classifiable C*-algebras from minimal Z-actions and their orbit-breaking subalgebras joint with Ian Putnam and Karen Strung Math. Ann. 388 (2024), no. 1, 703-72 9arXiv version
- Synchronizing Dynamical Systems: their groupoids and C*-algebras joint with Andrew Stocker Trans. Amer. Math. Soc. 377 (2024), no. 5, 3055-3093 arXiv version
- Minimal homeomorphisms and topological K-theory joint with Ian Putnam and Karen Strung Groups, Geom. Dyn. 17 (2023), no. 2, 501-532 arXiv version
- A counterexample to the HK-conjecture that is principal Ergodic Theory Dynam. Systems 43 (2023), no. 6, 1829-1849 arXiv version
- Invariants for the Smale space associated to an expanding endomorphism of a flat manifold joint with R. Chaiser, M. Coates-Welsh, A. Farhner, J. Giornozi, R. Huq, L. Lorenzo, J. Oyola-Cortes, M. Reardon, and A. Stocker Muenster J. Math. 16 (2023), no. 1 177-199 arXiv version
- Fell algebras, groupoids, and projections joint with Magnus Goffeng and Allan Yashinski Proc. Amer. Math. Soc. 150 (2022), no. 11, 4801-4907 arXiv version
- Non-homogeneous extensions of Cantor minimal systems joint with Ian Putnam and Karen Strung Proc. Amer. Math. Soc. 149 (2021), no. 5, 2081–2089 arXiv version
- Smale space C*-algebras have nonzero projections joint with Magnus Goffeng and Allan Yashinski Proc. Amer. Math. Soc. 148 (2020), no. 4, 1625–1639 arXiv version
- The stable algebra of a Wieler solenoid: inductive limits and K-theory joint with Allan Yashinski Ergodic Theory Dynam. Systems 40 (2020), no. 10, 2734-2768 arXiv version
- Group actions on Smale space C*-algebras joint with Karen Strung Ergodic Theory Dynam. Systems 40 (2020), no. 9, 2368–2398. arXiv version
- Relative geometric assembly and mapping cones, Part II: Chern characters and the Novikov property joint with Magnus Goffeng Muenster J. Math. 12 (2019), no. 1, 57-92 arXiv version
- Constructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang--Su algebra joint with Ian Putnam and Karen Strung J. Reine Angew. Math. 742 (2018), 241-261 arXiv version
- Relative geometric assembly and mapping cones, Part I: The geometric model and applications joint with Magnus Goffeng J. Topol. 11 (2018), no. 4 967-1001 arXiv version
- Index theory for manifolds with Baas-Sullivan singularities J. Noncommut. Geom. 12 (2018), 1-28 arXiv version
- Wieler solenoids, Cuntz-Pimsner algebras and K-theory joint with Magnus Goffeng, Bram Mesland, and M. F. Whittaker Ergodic Theory Dynam. Systems 38 (2018), no. 8, 2942-2988 arXiv version
- A signed version of Putnam's homology theory: Lefschetz and zeta functions 2016 MATRIX annals, 263-276, MATRIX Book Ser., 1, Springer, Cham, 2018 arXiv version
- Nuclear dimension and classification of C*-algebras associated to Smale spaces joint with Karen Strung Trans. Amer. Math. Soc. 370 (2018), no. 5, 3467-3485 arXiv version
- The bordism group of unbounded KK-cycles joint with Magnus Goffeng and Bram Mesland J. Topol. Anal. 10 (2018), no. 2, 355-400 arXiv version
- Applying geometric K-cycles to fractional indices joint with Magnus Goffeng Math. Nachr. 290 (2017), no. 14-15, 2207-2233 arXiv version
- Realizing the analytic surgery group of Higson and Roe geometrically, Part I: The geometric model joint with Magnus Goffeng J. Homotopy Relat. Struct. (2017) 12:109 doi:10.1007/s40062-015-0123-x arXiv version
- Realizing the analytic surgery group of Higson and Roe geometrically, Part III: Higher invariants joint with Magnus Goffeng Mathematische Annalen 366 (3), 1513-1559 DOI: 10.1007/s00208-016-1365-6 (2016) arXiv version
- Realizing the analytic surgery group of Higson and Roe geometrically, Part II: Relative eta-invariants joint with Magnus Goffeng Mathematische Annalen, 366 (3), 1319-1363 DOI 10.1007/s00208-016-1364-7 (2016) arXiv version
- Dynamical correspondences for Smale spaces joint with D. B. Killough, and M. F. Whittaker New York Journal of Mathematics Volume 22 (2016) 943-988 arXiv version
- Analytic and topological index maps with values in the K-theory of mapping cones Journal of Noncommutative Geometry Volume 10, Issue 2, (2016) 681–708 arXiv version
- Functorial properties of Putnam's homology theory for Smale spaces (joint with D. B. Killough, and M. F. Whittaker) Ergodic Theory and Dynamical Systems volume 36, issue 05, (2016) 1411-1440. arXiv version
- R/Z index theory via geometric K-homology Muenster J. of Math., 7 (2014), 697-729 link to journal, arXiv version
- Geometric K-homology with coefficients II, J. K-theory 12 (2013), no. 2, 235-256 link to journal, arXiv version
- Geometric K-homology with coefficients I , J. K-theory 9 (2012) no. 3, 537-564 link to journal, arXiv version
- The range of the orbit operator and invariant subspaces , C. R. Math. Rep. Acad. Sci. Canada, 29 (2007) no. 4 123-127, pdf version.
- Tilted Bianchi VII0 cosmologies- the radiation bifurcation , Class. Quantum Grav. 23 (2006) 3215-3234, joint with W. Lim and J. Wainwright, pdf version.
- Theory of algebraic invariants of vector spaces of Killing tensors: Methods of computing the fundamental invariants , Proceedings of Institute of Mathematics of NAS of Ukraine, Vol 50 (2004) 1079-1086, joint with J. Horwood, R. McLenaghan, R. Smirnov, pdf version.
Theses
- Geometric K-homology with coefficients, PhD thesis, University of Victoria, 2010
- The orbit operator and invariant subspaces, Master's thesis, University of Victoria, 2006
Address
Department of MathematicsUniversity of Colorado Boulder
Campus Box 395
Boulder, CO 80309-0395
USA
Email: robin.deeley@gmail.com