3 papers
math.OA2025
K-Theory and Structural Properties of -Algebras Associated with Relative Generalized Boolean Dynamical Systems
Toke Meier Carlsen, Eun Ji Kang
We present an explicit formula for the -theory of the -algebra associated with a relative generalized Boolean dynamical system $(\CB, \CL, θ, \CI_\af; \CJ)$. In particular,…
math.OA2024
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)
Toke Meier Carlsen, Anna Duwenig, Efren Ruiz +1
We consider étale Hausdorff groupoids in which the interior of the isotropy is abelian. We prove that the norms of the images under regular representations, of elements of the redu…
math.OA2023
A Cuntz--Krieger Uniqueness theorem for C*-algebras of relative generalized Boolean dynamical systems
Toke Meier Carlsen, Eun Ji Kang
We prove a version of the Cuntz--Krieger Uniqueness Theorem for -algebras of arbitrary relative generalized Boolean dynamical systems. We then describe properties of a -a…