Author:
SETH APURVA,VAIDYANATHAN PRAHLAD
Abstract
AbstractWe show that the properties of being rationallyK-stable passes from the fibres of a continuous$C(X)$-algebra to the ambient algebra, under the assumption that the underlying spaceXis compact, metrizable, and of finite covering dimension. As an application, we show that a crossed product C*-algebra is (rationally)K-stable provided the underlying C*-algebra is (rationally)K-stable, and the action has finite Rokhlin dimension with commuting towers.
Funder
University Grants Commission
Science and Engineering Research Board
Publisher
Cambridge University Press (CUP)