Author:
Elliott George A.,Gong Guihua,Li Liangqing
Abstract
AbstractLetAbe the inductive limit of a systemwith, whereXn,iis a finite simplicial complex, andPn,iis a projection inM[n,i](C(Xn,i)). In this paper, we will prove thatAcan be written as another inductive limitwith, whereYn,iis a finite simplicial complex, andQn,iis a projection inM{n,i}(C(Yn,i)), with the extra condition that all the mapsψn,n+1areinjective. (The result is trivial if one allows the spacesYn,ito be arbitrary compact metrizable spaces.) This result is important for the classification of simple AH algebras. The special case that the spacesXn,iare graphs is due to the third author.
Publisher
Canadian Mathematical Society
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献