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math.OA2020
Rokhlin Dimension and Equivariant Bundles
Prahlad Vaidyanathan
Given an action of a compact group on a complex vector bundle, there is an induced action of the group on the associated Cuntz-Pimsner algebra. We determine conditions under which…
math.OA2020
Homotopical Stable Ranks for Certain -algebras Associated to Groups
Anshu Nirbhay, Prahlad Vaidyanathan
We study the general and connected stable ranks for -algebras. We estimate these ranks for certain -algebras, and use that to do the same for certain group $C^{\ast…
math.OA2020★ 4 cited
AF-algebras and rational homotopy theory
Apurva Seth, Prahlad Vaidyanathan
We give a procedure to compute the rational homotopy groups of the group of quasi-unitaries of an AF-algebra. As an application, we show that an AF-algebra is K-stable if and only…