The authors show that m-almost divisibility and weak(m,n)-divisibility of C^(*)-algebras in a class P are preserved to the simple unital C^(*)-algebras which are asymptotically tracially in P.
We show that the following properties of the C*-algebras in a class P are inherited by simple unital C*-algebras in the class of asymptotically tracially in P :(1) n-comparison,(2) α-comparison(1 ≤ α < ∞).
文摘The authors show that m-almost divisibility and weak(m,n)-divisibility of C^(*)-algebras in a class P are preserved to the simple unital C^(*)-algebras which are asymptotically tracially in P.
基金Supported by the National Natural Sciences Foundation of China (Grant No. 11871375)。
文摘We show that the following properties of the C*-algebras in a class P are inherited by simple unital C*-algebras in the class of asymptotically tracially in P :(1) n-comparison,(2) α-comparison(1 ≤ α < ∞).
