Robin Deeley

ArXiv Preprints (submitted)

1. Wieler solenoids: non-Hausdorff expansiveness, Cuntz-Pimsner models, and functorial properties joint with M. Eryuzlu, M. Goffeng, and A. Yashinski

Papers

1. The rational HK-conjecture: transformation groupoids and a revised version joint with R. Willett (accepted Muenster Journal of Math)
2. 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
3. Synchronizing Dynamical Systems: their groupoids and C*-algebras joint with Andrew Stocker Trans. Amer. Math. Soc. 377 (2024), no. 5, 3055-3093 arXiv version
4. Minimal homeomorphisms and topological K-theory joint with Ian Putnam and Karen Strung Groups, Geom. Dyn. 17 (2023), no. 2, 501-532 arXiv version
5. A counterexample to the HK-conjecture that is principal Ergodic Theory Dynam. Systems 43 (2023), no. 6, 1829-1849 arXiv version
6. 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
7. Fell algebras, groupoids, and projections joint with Magnus Goffeng and Allan Yashinski Proc. Amer. Math. Soc. 150 (2022), no. 11, 4801-4907 arXiv version
8. 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
9. 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
10. 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
11. Group actions on Smale space C*-algebras joint with Karen Strung Ergodic Theory Dynam. Systems 40 (2020), no. 9, 2368–2398. arXiv version
12. 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
13. 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
14. 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
15. Index theory for manifolds with Baas-Sullivan singularities J. Noncommut. Geom. 12 (2018), 1-28 arXiv version
16. 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
17. 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
18. 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
19. 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
20. Applying geometric K-cycles to fractional indices joint with Magnus Goffeng Math. Nachr. 290 (2017), no. 14-15, 2207-2233 arXiv version
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. R/Z index theory via geometric K-homology Muenster J. of Math., 7 (2014), 697-729 link to journal, arXiv version
28. Geometric K-homology with coefficients II, J. K-theory 12 (2013), no. 2, 235-256 link to journal, arXiv version
29. Geometric K-homology with coefficients I , J. K-theory 9 (2012) no. 3, 537-564 link to journal, arXiv version
30. The range of the orbit operator and invariant subspaces , C. R. Math. Rep. Acad. Sci. Canada, 29 (2007) no. 4 123-127, pdf version.
31. Tilted Bianchi VII0 cosmologies- the radiation bifurcation , Class. Quantum Grav. 23 (2006) 3215-3234, joint with W. Lim and J. Wainwright, pdf version.
32. 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