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Universal coefficient theorems for the stable Ext-groups. (English) Zbl 1194.46103
Summary: Let $$A$$ be a unital separable nuclear $$C^{*}$$-algebra and let $$B$$ be a stable $$C^{*}$$-algebra. Using $$K$$-theory and $$KK$$-theory, we establish universal coefficient theorems for the stable Ext-groups of unital extensions of $$A$$ by $$B$$ when $$A$$ and $$B$$ have certain properties, which generalize a result of L. Brown and M. Dadarlat for the strong Ext-groups. The class of extensions being studied are also enlarged.

##### MSC:
 46L80 $$K$$-theory and operator algebras (including cyclic theory) 46L35 Classifications of $$C^*$$-algebras 19K33 Ext and $$K$$-homology
##### Keywords:
extension; ext-group; universal coefficient theorems
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##### References:
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