Central Sequence Algebras of a Purely Infinite Simple $C^{*}$-algebra

[摘要] We are concerned with a unital separable nuclear purely infinite simple $C^{*}$-algebra $A$ satisfying UCT with a Rohlin flow, as a continuation of~cite{Kismh}. Our first result (which is independent of the Rohlin flow) is to characterize when two {em central} projections in $A$ are equivalent by a {em central} partial isometry. Our second result shows that the K-theory of the central sequence algebra $A'cap A^omega$ (for an $omegain etaNsetminusN$) and its {em fixed point} algebra under the flow are the same (incorporating the previous result). We will also complete and supplement the characterization result of the Rohlin property for flows stated in~ cite{Kismh}.

[学科分类] 数学（综合）