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K_0-group Transmissibilities of the Tracial Limit of C*-algebras 被引量:1

K_0-group Transmissibilities of the Tracial Limit of C*-algebras
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摘要 We introduce the tracial limit A = (t4)lim n→∞(An,pn) and show that if K0(An) has ordered relation, K0(A) has ordered relation naturally. In the case that A is simple and K0(An) is weakly unperforated for every n, K0(A) is weakly unperforated too. Furthermore, the Riesz interpolation property of K0(An) can be transmitted to K0(A). We introduce the tracial limit A = (t4)lim n→∞(An,pn) and show that if K0(An) has ordered relation, K0(A) has ordered relation naturally. In the case that A is simple and K0(An) is weakly unperforated for every n, K0(A) is weakly unperforated too. Furthermore, the Riesz interpolation property of K0(An) can be transmitted to K0(A).
出处 《Northeastern Mathematical Journal》 CSCD 2005年第4期465-474,共10页 东北数学(英文版)
基金 The NNSF (10271090) of China and Shanghai Priority Academic Discipline.
关键词 ordered group weakly unperforated Riesz interpolation property ordered group, weakly unperforated, Riesz interpolation property
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