Research

Research

  1. A unified approach for classifying simple nuclear C*-algebras
    with Ben Bouwen.
    ArXiv preprint
  2. Self-adjoint traces on the Pedersen ideal of C*-algebras
    with Alistair Miller.
    Publ. Mat. (to appear)
    ArXiv preprint
  3. Classification of quasi-free compact group actions on Cuntz algebras
    Proc. Amer. Math. Soc. 153:1205-1207, 2025.
    Journal article, ArXiv preprint
  4. Generalized homomorphisms and KK with extra structure
    with Joachim Cuntz.
    Münster J. Math. (to appear)
    ArXiv preprint
  5. Inclusions of real rank zero
    with Robert Neagu.
    Int. Math. Res. Not. 2025(15), Paper No. rnaf232, 22 pp.
    Journal article, ArXiv preprint
  6. Tracially complete C*-algebras
    with José Carrión, Jorge Castillejos, Samuel Evington, Christopher Schafhauser, Aaron Tikuisis, and Stuart White.
    ArXiv preprint
  7. Extensions of C*-algebras
    with Huaxin Lin and Ping Wong Ng.
    ArXiv preprint
  8. Classifying *-homomorphisms I: unital simple nuclear C*-algebras
    with José Carrión, Christopher Schafhauser, Aaron Tikuisis, and Stuart White.
    ArXiv preprint
  9. The dynamical Kirchberg-Phillips theorem
    with Gábor Szabó.
    Acta Math. 232(1):1–77, 2024.
    Journal article, ArXiv preprint
  10. The stable uniqueness theorem for equivariant Kasparov theory
    with Gábor Szabó.
    Amer. J. Math. 147(6): 1527–1576, 2025.
    Journal article, ArXiv preprint
  11. Dynamic asymptotic dimension and Matui’s HK conjecture
    with Christian Bönicke, Clément Dell’Aiera, and Rufus Willett.
    Proc. Lond. Math. Soc. 126(4):1182–1253, 2023.
    Journal article, ArXiv preprint
  12. Classification of O∞-stable C*-algebras
    Mem. Amer. Math. Soc. 293(1461), 2024.
    Journal article, ArXiv preprint
  13. The nuclear dimension of O∞-stable C*-algebras
    with Joan Bosa, Aidan Sims, and Stuart White.
    Adv. Math. 401:51pp, 2022.
    Journal article, ArXiv preprint
  14. The extension problem for graph C*-algebras
    with Søren Eilers, Takeshi Katsura, Efren Ruiz, and Mark Tomforde.
    Ann. K-theory 5(2):295–315, 2020.
    Journal article, ArXiv preprint
  15. The unital Ext-groups and classification of C*-algebras
    with Efren Ruiz.
    Glasgow Math. J. 62:201–231, 2020.
    Journal article, ArXiv preprint
  16. Traceless AF embeddings and unsuspended E-theory
    Geom. Funct. Anal. 30(2):323-333, 2020.
    Journal article, ArXiv preprint
  17. A new proof of Kirchberg’s O2-stable classification
    J. reine angew. Math. 761:247-289, 2020.
    Journal article, ArXiv preprint
  18. Hereditary C*-subalgebras of graph C*-algebras
    with Sara Arklint, and Efren Ruiz.
    J. Operator Theory. 84(1):99-126, 2020.
    Journal article, ArXiv preprint
  19. Quasidiagonal traces on exact C*-algebras
    J. Funct. Anal. 272(3):1104-1120, 2017.
    Journal article, ArXiv preprint
  20. Lifting theorems for completely positive maps
    J. Noncommut. Geom. 16(2):391-421, 2022.
    Journal article, ArXiv preprint
  21. Absorbing representations with respect to operator convex cones
    with Efren Ruiz.
    ArXiv preprint
  22. A note on non-unital absorbing extensions
    Pacific J. Math. 284(2):383–393, 2016.
    Journal article, ArXiv preprint
  23. Classification of tight C*-algebras over the one-point compactification of ℕ
    with Efren Ruiz.
    J. Operator Theory 76(1):175–204, 2016.
    Journal article, ArXiv preprint
  24. K-theory for Leavitt path algebras: computation and classification
    with Efren Ruiz, Mark Tomforde, and Tristan Whalen.
    J. Algebra. 433:35-72, 2015.
    Journal article, ArXiv preprint
  25. Graph C*-algebras with a T1 primitive ideal space
    Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, Springer, 2013. pp. 141-156 (Springer Proceedings in Mathematics & Statistics, Vol. 58)
    Journal article, ArXiv preprint