Ring C*-algebras

被引：27
作者：
Li, Xin [1 ]
机构：
[1] Math Inst, D-48149 Munster, Germany
来源：
MATHEMATISCHE ANNALEN | 2010年 / 348卷 / 04期
关键词：
CROSSED-PRODUCTS; ENDOMORPHISMS;
D O I：
10.1007/s00208-010-0502-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We associate reduced and full C*-algebras to arbitrary rings and study the inner structure of these ring C*-algebras. As a result, we obtain conditions for them to be purely infinite and simple. We also discuss several examples. Originally, our motivation comes from algebraic number theory.
引用
收藏
页码：859 / 898
页数：40
相关论文
共 19 条
  • [1] [Anonymous], LECT NOTES MATH
  • [2] [Anonymous], 2007, MATH SURVEYS MONOGR
  • [3] Blackadar B., 2006, Operator algebras: theory of C*-algebras and von Neumann algebras
  • [4] Bost J.-B., 1995, SELECTA MATH, V1, P411, DOI [10.1007/BF01589495, DOI 10.1007/BF01589495]
  • [5] KMS states and complex multiplication
    Connes, Alain
    Marcolli, Matilde
    Ramachandran, Niranjan
    [J]. SELECTA MATHEMATICA-NEW SERIES, 2005, 11 (3-4): : 325 - 347
  • [6] SIMPLE CSTAR-ALGEBRAS GENERATED BY ISOMETRIES
    CUNTZ, J
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 57 (02) : 173 - 185
  • [7] CUNTZ J, 2007, P C HAN A C IN PRESS
  • [8] Cuntz J., 2008, EMS SER C REP, P201
  • [9] Exel R, 1999, J REINE ANGEW MATH, V512, P119
  • [10] Semigroup crossed products and the Toeplitz algebras of nonabelian groups
    Laca, M
    Raeburn, I
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 139 (02) : 415 - 440
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