In the current article,we prove the crossed product C^*-algebra by a Rokhlin action of finite group on a strongly quasidiagonal C^*-algebra is strongly quasidiagonal again.We also show that a just-infinite C^*-algebra...
supported by National Natural Science Foundation of China(Grant No.11761074);supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(Grant No.NRF-2017R1D1A1B04032937);The author is grateful to anonyme reviewers for their valuable com ments and suggestions.
In this paper,we introduce and solve the following additive(ρ1,ρ2)-functional inequalities‖f(x+y+z)-f(x)-f(y)-f(z)‖≤‖ρ1(f(x+z)-f(x)-f(z))‖+‖ρ2(f(y+z)-f(y)-f(z))‖,whereρ1 andρ2 are fixed nonzero complex nu...
supported by the National Natural Science Foundation of China(Grant Nos.11871303,11701327);the China Postdoctoral Science Foundation(No.2018M642633);the Natural Science Foundation of Shandong Province(No.ZR2019MA039);the Shandong Province Higher Educational Science and Technology Program(No.J18KA238).
We introduce and study property T and strong property T for unital*-homomorphisms between two unital C^*-algebras.We also consider the relations between property T and invariant subspaces for some canonical unital^-re...
Supported by National Natural Sciences Foundation of China(Grant Nos.11501357 and 11571008)。
We show that the following properties of the C^*-algebras in a class Ω are inherited by simple unital C-algebras in the class TAΩ:(1)(m,n)-decomposable,(2) weakly(m,n)-divisible,(3) weak Riesz interpolation.As an ap...