Select Publications
Preprints
, 2026, Morita equivalence of graded C*-algebras, https://arxiv.org/abs/2608.12662v1
, 2026, Classification of representations of higher-rank graph C*-algebras, http://dx.doi.org/10.48550/arxiv.2604.15883
, 2025, Lifting isomorphisms in $K$-theory through gradings of $C^*$-algebras, https://arxiv.org/abs/2507.03389v1
, 2025, K-theory of C*-algebras arising from commuting Hilbert bimodules and invariant ideals, https://arxiv.org/abs/2504.00377v2
, 2024, Norm upper-semicontinuity of functions supported on open abelian isotropy in étale groupoids (a corrigendum to "Reconstruction of groupoids and C*-rigidity of dynamical systems," Adv. Math 390 (2021), 107923), http://dx.doi.org/10.48550/arxiv.2412.00018
, 2024, Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies, https://doi.org/10.1007/s43034-025-00440-6
, 2024, Nuclear dimension of extensions of commutative C*-algebras by Kirchberg algebras, https://arxiv.org/abs/2409.12872v2
, 2024, Smooth Cartan triples and Lie twists over Hausdorff étale Lie groupoids, http://dx.doi.org/10.48550/arxiv.2309.09177
, 2024, Embeddability of higher-rank graphs in groupoids, and the structure of their C*-algebras, https://arxiv.org/abs/2403.01337v1
, 2023, A twist over a minimal étale groupoid that is topologically nontrivial over the interior of the isotropy, https://doi.org/10.1090/proc/17159
, 2023, Homology and twisted C*-algebras for self-similar actions and Zappa-Szép products, https://arxiv.org/abs/2311.09600v2
, 2023, Ideal structure of C*-algebras of commuting local homeomorphisms, https://arxiv.org/abs/2303.02313v2
, 2023, KK-duality for self-similar groupoid actions on graphs, https://arxiv.org/abs/2302.03989v2
, 2022, Reconstruction of topological graphs and their Hilbert bimodules, https://doi.org/10.1017/prm.2023.99
, 2022, Some results regarding the ideal structure of C*-algebras of étale groupoids, https://doi.org/10.1112/jlms.12870
, 2021, Stably finite extensions of rank-two graph C*-algebras, https://arxiv.org/abs/2111.15165v1
, 2021, Simplicity of twisted C*-algebras of Deaconu--Renault groupoids, https://doi.org/10.4171/JNCG/527
, 2021, Pushouts of extensions of groupoids by bundles of abelian groups, https://arxiv.org/abs/2107.05776v1
, 2021, Reconstruction of twisted Steinberg algebras, https://doi.org/10.1093/imrn/rnab291
, 2020, Structure theory and stable rank for C*-algebras of finite higher-rank graphs, https://arxiv.org/abs/2011.12656v2
, 2020, Higher dimensional generalizations of the Thompson groups via higher rank graphs, https://arxiv.org/abs/2010.08960v3
, 2020, Amplified graph C*-algebras II: reconstruction, https://arxiv.org/abs/2007.00853v1
, 2020, Graded $K$-theory and $K$-homology of relative Cuntz-Pimsner algebras and graph $C^*$-algebras, https://doi.org/10.1016/j.jmaa.2020.124822
, 2020, C*-Algebras of extensions of groupoids by group bundles, https://arxiv.org/abs/2001.01312v3
, 2019, An algebraic analogue of Exel-Pardo C*-algebras, https://arxiv.org/abs/1912.12117v1
, 2019, Homotopy of product systems and K-theory of Cuntz-Nica-Pimsner algebras, https://doi.org/10.1512/iumj.2022.71.8810
, 2019, The nuclear dimension of $\mathcal O_\infty$-stable $C^*$-algebras, https://arxiv.org/abs/1906.02066v2
, 2019, The groupoids of adaptable separated graphs and their type semigroup, https://arxiv.org/abs/1904.05197v3
, 2018, Reconstructing directed graphs from generalised gauge actions on their Toeplitz algebras, https://arxiv.org/abs/1812.08903v1
, 2018, Equilibrium states on higher-rank Toeplitz noncommutative solenoids, https://arxiv.org/abs/1810.05323v3
, 2018, Ample groupoids: equivalence, homology, and Matui's HK conjecture, https://arxiv.org/abs/1808.07807v1
, 2018, The suspension of a graph, and associated C*-algebras, https://arxiv.org/abs/1807.08067v1
, 2018, Simplicity of algebras associated to non-Hausdorff groupoids, https://arxiv.org/abs/1806.04362v2
, 2018, Poincare duality for Cuntz-Pimsner algebras of bimodules, https://arxiv.org/abs/1804.08114v1
, 2018, The Dixmier-Douady Classes of Certain Groupoid $C^*$-Algebras with Continuous Trace, https://arxiv.org/abs/1801.00832v1
, 2017, Preferred traces on C*-algebras of self-similar groupoids arising as fixed points, https://doi.org/10.1016/j.jmaa.2018.06.019
, 2017, Reconstruction of groupoids and C*-rigidity of dynamical systems, https://doi.org/10.1016/j.aim.2021.107923
, 2017, Étale groupoids and their $C^*$-algebras, https://arxiv.org/abs/1710.10897v2
, 2017, Equilibrium states and growth of quasi-lattice ordered monoids, https://doi.org/10.1090/proc/14108
, 2017, Opposite algebras of groupoid C*-algebras, https://arxiv.org/abs/1708.04105v1
, 2017, KMS states on the C*-algebras of Fell bundles over groupoids, https://doi.org/10.1017/S0305004119000379
, 2017, A dichotomy for groupoid C*-algebras, https://arxiv.org/abs/1707.04516v2
, 2017, Graded C*-algebras, graded K-theory, and twisted P-graph C*-algebras, https://arxiv.org/abs/1706.00563v1
, 2017, Unbounded quasitraces, stable finiteness and pure infiniteness, https://arxiv.org/abs/1705.01268v1
, 2017, Graded Steinberg algebras and their representations, https://doi.org/10.2140/ant.2018.12.131
, 2016, Non-Commutative Vector Bundles for Non-Unital Algebras, https://doi.org/10.3842/SIGMA.2017.041
, 2016, The Toeplitz noncommutative solenoid and its KMS states, https://arxiv.org/abs/1608.01782v2
, 2016, Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras, https://doi.org/10.1090/proc/13321
, 2016, Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras, https://arxiv.org/abs/1601.07238v1
, 2016, Reconstruction of graded groupoids from graded Steinberg algebras, https://arxiv.org/abs/1601.02872v2