C*-ALGEBRAS

作品数:30被引量:14H指数:2
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相关领域:理学更多>>
相关期刊:《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Science Bulletin》《Acta Mathematica Sinica,English Series》更多>>
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APPROXIMATELY ARTINIAN(NOETHERIAN)C*-ALGEBRAS
《Acta Mathematica Scientia》2024年第6期2485-2497,共13页Mohammad ROUZBEHANI Massoud AMINI Mohammad B.ASADI 
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...
关键词:C^(*)-algebra graph C^(*)-algebra ARTINIAN NOETHERIAN inductive limit (weakly)purely infinite ideal property 
Stability of Rotation Relations of Three Unitaries with the Flip Action in C^(*)-Algebras被引量:1
《Chinese Annals of Mathematics,Series B》2023年第4期577-598,共22页Zhijie WANG Junyun HU Jiajie HUA 
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...
关键词:C*-ALGEBRAS STABILITY Rotation relation UNITARY Flip action 
Comparison Properties for Asymptotically Tracially Approximation C^(*)-algebras
《Acta Mathematica Sinica,English Series》2023年第5期863-884,共22页Qing Zhai FAN Xiao Chun FANG 
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 < ∞).
关键词:C*-ALGEBRAS asymptotically tracially approximation Cuntz semigroup 
Twisted bounded-dilation group C*-algebras as C*-metric algebras被引量:1
《Science China Mathematics》2021年第3期547-572,共26页Botao Long Wei Wu 
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...
关键词:discrete group boundedθ-dilation twisted reduced group C*-algebra C*-metric algebra Leibniz Lip-norm compact quantum metric space 
Some Results on Inner Quasidiagonal C^*-algebras
《Acta Mathematica Sinica,English Series》2020年第10期1094-1106,共13页Qi Hui LI Rui WANG 
partially supported by NSFC(Grant No.11671133)。
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...
关键词:Inner quasidiagonal C*-algebras crossed product C*-algebras strongly quasidiagonal C^*-algebras just-infinite C^*-algebras topological free entropy dimension 
The α-comparison Property and Finite Nuclear Dimension of Generalized Inductive Limits for C~*-algebras
《Acta Mathematica Sinica,English Series》2018年第9期1417-1428,共12页Yue Liang LIANG Xiao Chun FANG 
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...
关键词:Finite nuclear dimension α-comparison property generalized inductive limit of C*-algebras 
CHAIN CONDITIONS FOR C*-ALGEBRAS COMING FROM HILBERT C*-MODULES被引量:2
《Acta Mathematica Scientia》2018年第4期1163-1173,共11页Mahmood POURGHOLAMHOSSEIN Mohammad ROUZBEHANI Massoud AMINI 
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...
关键词:Hilbert C*-module Noetherian and Artinian C*-algebras purely infinite C*-algebras Morita equivalence 
On Quasi-Chebyshevity Subsets of Unital Banach Algebras
《Analysis in Theory and Applications》2018年第1期92-102,共11页M.Iranmanesh F.Soleimany 
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...
关键词:Best approximation Quasi-Chebyshev sets Pseudo-Chebyshev C*-algebras HilbertC*-modules. 
Universal C*-algebras Defined by Completely Bounded Unital Homomorphisms
《Acta Mathematica Sinica,English Series》2015年第12期1825-1844,共20页Wen Hua QIAN Don HADWIN 
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...
关键词:Completely bounded unital homomorphisms universal C*-algebras K-groups 
C*-Algebraic Intertwiners for Degenerate Principal Series of Special Linear Groups
《Chinese Annals of Mathematics,Series B》2014年第5期691-702,共12页Pierre CLARE 
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...
关键词:Group C*-algebras Hilbert modules Semisimple Lie groups Principalseries representations Intertwining operators 
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