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Isomorphism of extensions of $$C(\mathbb{T} ^{2})$$. (English) Zbl 1225.46051
Summary: We give a certain classification theorem of extensions of the torus algebra up to isomorphism and also show that the $$K_{0}$$-group $$K_{0}(E)$$ and the semigroup $$V(E)$$ are two complete invariants of such extension algebras.

##### MSC:
 46L80 $$K$$-theory and operator algebras (including cyclic theory) 46L35 Classifications of $$C^*$$-algebras 46L05 General theory of $$C^*$$-algebras
##### Keywords:
extension; semigroup; isomorphism
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##### References:
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