Simple C*-Algebras with Unique Tracial States and Quantized Topological Spaces |
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| Authors: | Hua Xin Lin |
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| Institution: | (1) Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China, Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222 E-mail: hxlin@cartan.uoregon.edu, |
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| Abstract: | Let X be a connected finite CW complex and d
X
: K
0(C(X)) →ℤ be the dimension function. We show that, if A is a unital separable simple nuclear C*-algebra of TR(A) = 0 with the unique tracial state and satisfying the UCT such that K
0(A) = ℚ⊕ kerd
x
and K
1(A) = K
1(C(X)), then A is isomorphic to an inductive limit of M
n
!(C(X)).
Received April 19, 2001, Accepted April 27, 2001. |
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| Keywords: | Quantized deformation Simple C*-algebras |
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