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YANG Xin-bing, HU Shan-wen. K-groups Structure of Tracial Limits of C*-algebras(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 1-7.
Citation:
YANG Xin-bing, HU Shan-wen. K-groups Structure of Tracial Limits of C*-algebras(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 1-7.
YANG Xin-bing, HU Shan-wen. K-groups Structure of Tracial Limits of C*-algebras(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 1-7.
Citation:
YANG Xin-bing, HU Shan-wen. K-groups Structure of Tracial Limits of C*-algebras(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 1-7.
Let A=(t4)lim (An,Pn) be the tracial limit of a sequence of unital C*-subalgebras An, this paper proved that (1) united manners of the structure of K0(An) can be transmitted to K0(A); (2) for ∨n ,n∈N and if the natural maps ikn:Uk(An)/Uk0(An) -- K1(An) are surjective, then ∨k∈N,ik:Uk(A)/Uk0(A) -- K1(A) are surjective too.