THE CUNTZ SEMIGROUP OF CONTINUOUS FUNCTIONS INTO CERTAIN SIMPLE C*-ALGEBRAS
2011 ◽
Vol 22
(08)
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pp. 1051-1087
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This paper contains computations of the Cuntz semigroup of separable C*-algebras of the form C0(X, A), where A is a unital, simple, [Formula: see text]-stable ASH algebra. The computations describe the Cuntz semigroup in terms of Murray–von Neumann semigroups of C(K, A) for compact subsets K of X. In particular, the computation shows that the Elliott invariant is functorially equivalent to the invariant given by the Cuntz semigroup of C(𝕋, A). These results are a contribution towards the goal of using the Cuntz semigroup in the classification of well-behaved non-simple C*-algebras.
2014 ◽
Vol 25
(02)
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pp. 1450010
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2015 ◽
Vol 58
(2)
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pp. 402-414
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1982 ◽
Vol 91
(1)
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pp. 75-78
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Keyword(s):
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2018 ◽
Vol 462
(1)
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pp. 1014-1031
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2017 ◽
Vol 69
(3)
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pp. 548-578
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