高维立方体上矩阵函数的投影元在K_0群上的实现

Realization in K_0-group of the Projections from the Algebra of Matrix Functions on High Dimension Cubes

近来对AH代数的分类研究较为活跃 ,其中投影元在K0 群中的实现方式对某些估计是很有用的 .据此给出了高维立方体上矩阵函数代数中投影元在其K0 群中实现的两个不同证明 ,从而给出了两种不同的实现方式 .作为应用证明了一定的由高维立方体矩阵函数代数作为构成体的单AH代数为AF的 .

In this note we give the two different proofs of the realization in K 0 group of the projections from the agebra of matrix functions on high dimension cubes, and so two different realization methods are given. Also it is proved that certain AH algebras from high dimension cube are AF.