F-ALGEBRA

作品数:13被引量:4H指数:1
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Asymptotic Direct System of C^(*)-algebras and Locally AF-algebra
《数学进展》2024年第5期1084-1092,共9页XIE Zhentao YAO Hongliang WANG Hao 
Supported by Natural Science Foundation of Jiangsu Province,China (No.BK20171421)。
We define the direct limit of the asymptotic direct system of C^(*)-algebras and give some properties of it.Finally,we prove that a C^(*)-algebra is a locally AF-algebra,if and only if it is the direct limit of an asy...
关键词:C^(*)-algebra asymptotic direct system direct limit locally AF-algebra 
Bipolar Valued Fuzzy α-Ideal of BF-Algebra被引量:1
《Circuits and Systems》2016年第10期3054-3062,共10页Shanmugavelu Sabarinathan David C. Kumar Prakasam Muralikrishna 
In the mathematical applications, ideal concepts are involved. They have been studied and analyzed in various ways. Already ideal and α-ideal concepts were discussed in BF-algebras. In this paper the idea of bipolar ...
关键词:BF-Algebra IDEAL Bipolar Valued Fuzzy Ideal Bipolar Valued Fuzzy α-Ideal 
The Tracial Rokhlin Property for Automorphisms on Non-simple C~*-Algebras
《Chinese Annals of Mathematics,Series B》2010年第2期191-200,共10页Jiajie HUA 
supported by the National Natural Science Foundation of China (Nos.10771069,10671068);the Shanghai Priority Academic Discipline (No.B407)
Let A be a unital AF-algebra (simple or non-simple) and let α be an automorphism of A. Suppose that α has certain Rokhlin property and A is α-simple. Suppose also that there is an integer J ≥ 1 such that J α*...
关键词:Rokhlin property Tracial rank zero AF-algebra 
f-Algebra in Quotient Space
《Journal of Southwest Jiaotong University(English Edition)》2009年第3期271-274,共4页冯颖 
The Science Research Start-up Foundation for Young Teachers of Southwest Jiaotong University ( No.2008Q074)
Based on the knowledge off-algebra, the concept of quotient f-algebra is mainly discussed. The sufficient condition when the quotient space is quotient f-algebra is given, and the quotient f-algebra that makes the ker...
关键词:F-ALGEBRA Quotient f-algebra COMMUTATIVE SEMIPRIME Unit element 
SIMPLE PROOFS OF THE CAUCHY-SCHWARTZ INEQUALITY AND THE NEGATIVE DISCRIMINANT PROPERTY IN ARCHIMEDEAN ALMOST f-ALGEBRAS
《Analysis in Theory and Applications》2009年第2期117-124,共8页Adel Toumi Mohamed Ali Toumi Nedra Toumi 
The paper presents simple proofs of the Cauchy-Schwartz inequality and the negative discriminant property in archimedean almost f-algebras^[5], based on a sequence approximation.
关键词:Cauchy-Schwartz inequality F-ALGEBRA almost f-algebra positive square g-algebra 
LENTICULAR NONCOMMUTATIVE TORI
《Acta Mathematica Scientia》2003年第1期83-94,共12页Chun-Gil Park 
The author was supported by grant No. 1999-2-102-001-3 from the interdis- ciplinary research program year of the KOSEF.
All C*-algebras of sections of locally trivial C* -algebra bundles over ∏i=1sLki(ni) with fibres Aw Mc(C) are constructed, under the assumption that every completely irrational noncommutative torus Aw is realized as ...
关键词:Lens space homogeneous C*-algebra C*-algebra bundle twisted group C*-algebra noncommutative torus K-THEORY UHF-algebra Cuntz algebra 
GENERALIZED SIMPLE NONCOMMUTATIVE TORI被引量:1
《Chinese Annals of Mathematics,Series B》2002年第4期539-544,共6页C. G. PARKDepartment of Mathematics, Chungnam National Uinversity, Taejon 305-764, South Korea. 
Project supported by Grant No.1999-2-102-001-3 from the Interdisciplinary Research Program Year of the KOSEF.
The generalized noncommutative torus Tkp of rank n was defined in [4] by the crossed product Am/k ×a3 Z ×a4 … ×an Z, where the actions ai of Z on the fibre Mk(C) of a rational rotation algebra Am/k are trivial, an...
关键词:Noncommutative torus Equivalence bimodule UHF-algebra Cuntz algebra Crossed product 
THE FUNDAMENTAL GROUP OF THE AUTOMORPHISM GROUP OF A NONCOMMUTATIVE TORUS THE FUNDAMENTAL GROUP OF THE AUTOMORPHISM GROUP OF A NONCOMMUTATIVE TORUS
《Chinese Annals of Mathematics,Series B》2000年第4期441-452,共页
Project supported by the grant No. 1999-2-102-001-3 from the Interdisciplinary Research Program Year of the KOSEF
Assume that each completely irrational noncommutative torus is realized as an inductive limit of circle algebras, and that for a completely irrational noncommutative torus Aω of rank m there are a completely irration...
关键词:C*-algebra bundle Homogeneous C*-algebra CROSSED product UHF-algebra Cuntz ALGEBRA 
THE FUNDAMENTAL GROUP OF THE AUTOMORPHISM GROUP OF A NONCOMMUTATIVE TORUS THE FUNDAMENTAL GROUP OF THE AUTOMORPHISM GROUP OF A NONCOMMUTATIVE TORUS被引量:3
《Chinese Annals of Mathematics,Series B》2000年第4期441-452,共12页D. H. BOO C. G. PARK (Department of Mathematics, Chungnam National University, TaeJon 305-764, Korea.) 
Project supported by the grant No. 1999-2-102-001-3 from the Interdisciplinary Research Program Year of the KOSEF
Assume that each completely irrational noncommutative torus is realized as an inductive limit of circle algebras, and that for a completely irrational noncommutative torus Aω of rank m there are a completely irration...
关键词:C*-algebra bundle Homogeneous C*-algebra Crossed product UHF-algebra Cuntz algebra 
Hopf C~* -algebras related to the Latin square
《Science China Mathematics》2000年第2期158-162,共5页郭懋正 蒋立宁 钱敏 
A sufficient condition is given for the multiparametric Hopf algebras to be Hopf * -algebras. Then a special subclass of the * -algebra related to a Latin square is given. After being completed, its generators are all...
关键词:R-MATRIX Hopf-algebra compact matrix quantum group LATIN square. 
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