Cuntz代数的扩张

用一种新方法构造出○_n通过K的在弱等价意义的所有的扩张,并且计算了其代表元E^k_n的K-群.     

L2(D)上乘子的C*-代数K-群

讨论了闭单位圆盘D的Lebesgue空间L2(D)上某类乘子所生成C*-代数的Kop*er-群.     

C*-代数迹极限K-群结构(英)

证明了迹极限A=(t₄)lim (A_n,P_n)的情况下,对任意的n∈N,K₀(A_n)统一的生成结构可以过渡到K₀(A)上来;如果K₁(A_n)的自然生成映射是满的, 则K₁(A)的生成映射也是满的.     

Asymptotic Excisions of Metric Spaces and Ideals of Asymptotic Coarse Roe Algebras

IntroductionTheC*-algebras associated with coarse geometry ofproper metric spacesXhave beenstudiedin recent years inthe area of index theory , see [1 , 2 , 4 , 5] . The mosti mportant one , called the Roe algebra[4],is generated bylocally compact , finite propagation operators on anX-module . In view of noncommutative topology , the Roealgebra can be considered as the noncommutative quotientof coarsening a metric space by identifying all pairs ofpoints that are finite distance apart . Anothe…