Constructive Gelfand duality for C*-algebras

被引:7
|
作者
Coquand, Thierry [1 ]
Spitters, Bas [2 ]
机构
[1] Univ Gothenburg, Dept Comp Sci, Gothenburg, Sweden
[2] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
关键词
THEOREM;
D O I
10.1017/S0305004109002515
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present a constructive proof of Gelfand duality for C*-algebras by reducing the problem to Gelfand duality for real C*-algebras.
引用
收藏
页码:339 / 344
页数:6
相关论文
共 50 条
  • [21] A GELFAND DUALITY FOR CONTINUOUS LATTICES
    Chen, Ruiyuan
    THEORY AND APPLICATIONS OF CATEGORIES, 2024, 41
  • [22] An introduction to the theory of C*-algebras in constructive mathematics
    Takamura, Hiroki
    From Sets and Types to Topology and Analysis: TOWARDS PRACTICABLE FOUNDATIONS FOR CONSTRUCTIVE MATHEMATICS, 2005, 48 : 280 - 292
  • [23] A constructive proof of the generalized Gelfand isomorphism
    Buchstaber, VM
    Rees, EG
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2001, 35 (04) : 257 - 260
  • [24] A Constructive Proof of the Generalized Gelfand Isomorphism
    V. M. Buchstaber
    E. G. Rees
    Functional Analysis and Its Applications, 2001, 35 : 257 - 260
  • [25] A Constructive Proof of the Gelfand—Kolmogorov Theorem
    He Wei
    Applied Categorical Structures, 2004, 12 : 197 - 202
  • [26] Gelfand-Naimark theorem of commutative Hopf C*-algebras
    Liu, Ming
    Jiang, Li-Ning
    Journal of Beijing Institute of Technology (English Edition), 2006, 15 (03): : 374 - 378
  • [27] C*-algebras, Gelfand-Kirillov dimension, and Folner sets
    Samet-Vaillant, AY
    JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 171 (02) : 346 - 365
  • [28] Paschke duality for real and graded C*-algebras
    Roe, J
    QUARTERLY JOURNAL OF MATHEMATICS, 2004, 55 : 325 - 331
  • [29] Exotic group C*-algebras in noncommutatiye duality
    Kaliszewski, S.
    Landstad, Magnus B.
    Quigg, John
    NEW YORK JOURNAL OF MATHEMATICS, 2013, 19 : 689 - 711
  • [30] GENERAL STONE-GELFAND DUALITY
    LAMBEK, J
    RATTRAY, BA
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 248 (01) : 1 - 35