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XIAO Xiang, HU Shan-wen. Closing Property of C*-Algebras with Tracial Limit(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 8-14.
Citation:
XIAO Xiang, HU Shan-wen. Closing Property of C*-Algebras with Tracial Limit(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 8-14.
XIAO Xiang, HU Shan-wen. Closing Property of C*-Algebras with Tracial Limit(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 8-14.
Citation:
XIAO Xiang, HU Shan-wen. Closing Property of C*-Algebras with Tracial Limit(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (3): 8-14.
It was shown that there are some C*-algebras maintaining the closing property with the tracial limit, especially under the condition of simplicity. Suppose A=(t2)limn - ∞ (An,pn). If each An admits at least one tracial state or has SP-property, then A has the same case. Suppose A=(t3)limn - ∞ (An,pn) and A is simple. If TR(An)=0, tsr(An)=1 and An has Cancelation of Projection, then A has the same case.
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