3 papers
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…