58 citations · 677 across the 41 of their papers we have counts for
41 papers
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,…
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…
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…
Ideal structure of C*-algebras of commuting local homeomorphisms
Kevin Aguyar Brix, Toke Meier Carlsen, Aidan Sims
We determine the primitive ideal space and hence the ideal lattice of a large class of separable groupoid C*-algebras that includes all 2-graph C*-algebras. A key ingredient is the…
Some results regarding the ideal structure of C*-algebras of étale groupoids
Kevin Aguyar Brix, Toke Meier Carlsen, Aidan Sims
We prove a sandwiching lemma for inner-exact locally compact Hausdorff étale groupoids. Our lemma says that every ideal of the reduced -algebra of such a groupoid is sandwiche…
Conjugacy of local homeomorphisms via groupoids and C*-algebras
Becky Armstrong, Kevin Aguyar Brix, Toke Meier Carlsen +1
We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include s…