supported by grants from INSF(98029498,99013953);partly supported by a grant from IPM(96430215)。
In this article,we introduce and study the class of approximately Artinian(Noetherian)C^(*)-algebras,called AR-algebras(AN-algebras),which is a simultaneous generalization of Artinian(Noetherian)C*-algebras and AF-alg...
supported by the National Natural Science Foundation of China(Nos.11401256,11801219,11501249,11871342);the Scientific Research Fund of Zhejiang Provincial Education Department(No.Y202249575);the Zhejiang Provincial Natural Science Foundation of China(No.LQ13A010016)。
The authors show that ifΘ=(θ_(jk))is a 3×3 totally irrational real skewsymmetric matrix,whereθ_(jk)∈[0,1)for j,k=1,2,3,then for anyε>0,there existsδ>0 satisfying the following:For any unital C^(*)-algebra A wit...
Supported by the National Natural Sciences Foundation of China (Grant No. 11871375)。
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 < ∞).
supported by National Natural Science Foundation of China(Grant Nos.11171109 and 11801177);the Science and Technology Commission of Shanghai Municipality(Grant No.18dz2271000)。
We construct a class of C*-metric algebras. We prove that for a discrete group Γ with a 2-cocycle σ,the closure of the seminorm ||[Ml1,·]|| on Cc(Γ, σ) is a Leibniz Lip-norm on the twisted reduced group C*-algebr...
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 NSFC(Grant No.11371279);by the Fundamental Research Funds for the Central Universities
The paper is devoted to the study of generalized inductive limit of C*-algebras with coherent maps being completely positive contractions of order zero: the nuclear dimension of generalized inductive limit of C*-al...
In this paper we define and study chain conditions for Hilbert C*-modules through their C*-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that thes...
In this paper, first, we consider closed convex and bounded subsets of infinite-dimensional unital Banach algebras and show with regard to the general conditions that these sets are not quasi-Chebyshev and pseudo-Cheb...
partially supported by a Collaboration Grant from the Simons Foundation
Suppose A is a unital C*-algebra and r 1.In this paper,we define a unital C*-algebra C(cb)*(A,r) and a completely bounded unital homomorphism αr:A → C(cb)*(A,r)with the property that C(cb)*(A,r)=C...
The author constructs unitary intertwiners for degenerate C*-algebraic universal principal series of SL(n + 1) over a local field by explicitely normalizing standard intertwining integrals at the level of Hilbert modu...