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20192022
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math.OA2022

-Stability of A-Algebras

Apurva Seth, Prahlad Vaidyanathan

We describe a procedure to compute the rational nonstable K-groups of A-algebras. As an application, we show that an A-algebra is K-stable if and only if it…

math.OA2021

Rational -Stability of Continuous -Algebras

Apurva Seth, Prahlad Vaidyanathan

We show that the property of being rationally -stable passes from the fibers of a continuous -algebra to the ambient algebra, under the assumption that the underlying spac…

math.OA2020

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…

math.OA2019

K-stability of continuous C(X)-algebras

Apurva Seth, Prahlad Vaidyanathan

A C*-algebra is said to be K-stable if its nonstable K-groups are naturally isomorphic to the usual K-theory groups. We study continuous -algebras, each of whose fibers are K…