7 papers
-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…
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…
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…
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…
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…
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…