Kevin Aguyar Brix

Contact information

https://orcid.org/0000-0003-1237-6446

• Email: kabrix (at) imada (dot) sdu (dot) dk
• Address:
  • Department of Mathematical Sciences
  • University of Southern Denmark
  • 5230 Odense, Denmark

Research interests

I am interested in the area of pure mathematics that concerns the interactions between topological dynamical systems, operator algebras, and group theory. I study symbolic dynamical systems, how they are encoded into C*-algebras, and how much dynamical stucture is remembered or lost in this encoding. Using operator algebraic tools, this allows us to derive interesting properties of the original systems.

News

• New preprints: on unital shift equivalence in symbolic dynamics with Efren Ruiz and on Hausdorff covers for non-Hausdorff etale groupoids with Julian Gonzales, Jeremy B. Hume, and Xin Li.
• My paper with Adam Dor-On, Roozbeh Hazrat, and Efren Ruiz on shift equivalence and the graded classification conjecture is accepted for publication in Mathematische Zeitschrift.
• My paper with Toke Meier Carlsen and Aidan Sims on ideal structure of Deaconu-Renault groupoids is accepted for publication in Mathematische Annalen.
• New preprint with Jeremy B. Hume and Xin Li on covers of dynamical systems.
• I started a new job at the University of Southern Denmark, Odense, in Denmark.
• I contributed with an extended abstract for the Oberwolfach Report 12 (2024): Combinatorial *-algebras.
• New preprint on ideal structure of reduced group C*-algebras with Chris Bruce, Kang Li, and Eduardo Scarparo.
• The Swedish Research Council has awarded me a Starting Grant (2024-2028) for my project "Dynamics, Groups, and C*-algebras: from one to many dimensions".