拟对角扩张Cuntz半群的某些性质

Certain Properties of Cuntz Semigroup of the Quasidiagonal Extension

设O→J→A→B→O是一个拟对角扩张.作者证明如果J和B具有Cuntz半群的某些性质,则A也具有相同的半群性质.

Let O→J→A→B→O quasidiagonal extension, The authors show that some Cuntz semigroup properties are closed under passing to quasidiagonal extension, i.e.,if J and B have some Cuntz semigroup properties then A has the same Cuntz semigroup properties.