Aidan Sims

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math.OA2025

Lifting isomorphisms in $K$ -theory through gradings of $C^{*}$ -algebras

Efren Ruiz, Aidan Sims

We show that every strongly $Z$ -graded C*-algebra (equivalently, every C*-algebra carrying a strongly continuous $T$ -action with full spectral subspaces) is a Cun…

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…

Lifting isomorphisms in K-theory through gradings of C∗-algebras

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)

Lifting isomorphisms in $K$ -theory through gradings of $C^{*}$ -algebras