The linear span of projections in AH algebras and for inclusions of C*-algebras

Dinh Trung Hoa, Toan Minh Ho, Hiroyuki Osaka

A $C^{\ast }$-algebra is said to have the LP property if the linear span of projections is dense in a given algebra. In the first part of this paper, we show that an AH algebra $A = \und…