4 citations · 8 across the 10 of their papers we have counts for
12 papers
Weak Centrality of unital C(X)-algebras
Bharat Talwar, Prahlad Vaidyanathan, Stefan Wagner
This paper establishes a fibrewise characterization of weak centrality for unital -algebras whose defining homomorphism maps onto the center: such an algebra is weakly…
Rokhlin Dimension and Inductive Limit Actions on AF-algebras
Sureshkumar M, Prahlad Vaidyanathan
Given a separable, AF-algebra A and an inductive limit action on A of a finitely generated abelian group with finite Rokhlin dimension with commuting towers, we give a local descri…
Rokhlin Dimension: Permanence Properties and Ideal Separation
Sureshkumar M, Prahlad Vaidyanathan
We study the Rokhlin dimension for actions of residually finite groups on C*-algebras. We give a definition equivalent to the original one due to Szabo, Wu and Zacharias. We then p…
-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…
Homotopical Stable Ranks for Certain C*-algebras
Prahlad Vaidyanathan
We study the general and connected stable ranks for C*-algebras. We estimate these ranks for pullbacks of C*-algebras, and for tensor products by commutative C*-algebras. Finally,…
Roots of Dehn twists about multicurves
Kashyap Rajeevsarathy, Prahlad Vaidyanathan
A \textit{multicurve} $\C$ on a closed orientable surface is defined to be a finite collection of disjoint non-isotopic essential simple closed curves. The Dehn twist $t_{\C}$ abou…
E-theory for C[0,1]-algebras with finitely many singular points
M. Dadarlat, P. Vaidyanathan
We study the E-theory group for a class of C*-algebras over the unit interval with finitely many singular points, called elementary -algebras. We use resul…