Simple C~*-Algebras with Unique Tracial States and Quantized Topological Spaces

(整期优先)网络出版时间:2002-01-11
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<正>LetXbeaconnectedfiniteCWcomplexanddx:KO(C(X))→Zbethedimensionfunction.Weshowthat,ifAisaunitalseparablesimplenuclearC*-algebraofTR(A)=0withtheuniquetracialstateandsatisfyingtheUCTsuchthatKO(A)=QkerdxandK1(A)=K1(C(X)).thenAisisomorphictoaninductivelimitofMn!(C(X)).