Research

I am interested in Banach algebras (mainly C*-algebras and Lp operator algebras), their K-theory, and connections with coarse geometry, groups, semigroups, and dynamics.

Publications and preprints

  • (with Diego Martínez and Nóra Szakács) Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups. Preprint. [arXiv | journal]

  • (with Piotr W. Nowak) Expanders are counterexamples to the lp coarse Baum-Connes conjecture. Journal of Noncommutative Geometry, to appear. [arXiv | journal]

  • Property A and coarse embeddability for fuzzy metric spaces. Fuzzy Sets and Systems, 444:156-171, 2022. [arXiv | journal]

  • (with Kang Li) Structure and K-theory of lp uniform Roe algebras. Journal of Noncommutative Geometry, 15(2):581-614, 2021. [arXiv | journal]

  • Dynamical complexity and K-theory of Lp operator crossed products. Journal of Topology and Analysis, 13(3):809-841, 2021. [arXiv | journal]

  • (with Bruno M. Braga and Kang Li) Coarse Baum-Connes conjecture and rigidity for Roe algebras. Journal of Functional Analysis, 279(9):108728, 2020. [arXiv | journal]

  • (with Kang Li) Rigidity of lp Roe-type algebras. Bulletin of the London Mathematical Society, 50(6):1056-1070, 2018. [arXiv | journal]

  • Quantitative K-theory for Banach algebras. Journal of Functional Analysis, 274(1):278-340, 2018. [arXiv | journal]

Upcoming events I may be interested in