考虑一类有单位元的C*-代数（记为Ω）具有某种性质时，Ω中C*-代数迹逼近后得到的一类C*-代数（记为TAΩ）是否也具有这种性质。得出结论：若对B∈Ω，B的投影半群V （B ）具有m－n几乎可除性质，则对A∈TAΩ，A的投影半群V（A）具有m＋1－n几乎可除性质；若对B∈Ω，B具有强的迹m-投影比较性质，则对A∈TAΩ，A具有强的迹m-投影比较性质。%It is discussed that,if a class of C*-algebras (denoted by Ω)with an identity element has a property ,whether the class of C*-algebras (denoted by TAΩ)that be tracially approximated by C*-alge-bras in Ω has the property. It is concluded that,if the projective semigroup of B,V(B),has an m-n almost divisible property for any B∈Ω,the projective semigroup of A,V(A),has an m+1-n almost divisible property for any A∈TAΩ;if B has a strong tracial m-comparison projection property for any B∈Ω,A has also the property for any A∈TAΩ.
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