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Homomorphisms between finite direct sums of circle algebras. (English) Zbl 0783.46029

Author’s abstract: Let \(A\) (resp. \(B\)) be a finite direct sum of full matrix algebras over \(C(X)\) (resp. \(Y\)), where \(X\) and \(Y\) are compact Hausdorff spaces. We classify the \(*\)-homomorphisms \(A\to B\) when \(X=Y=\mathbb{T}\) and when \(X=[0,1]\) and \(Y\) is \([0,1]\), \([0,1]^ 2\) or \([0,1]\times\mathbb{T}\).

MSC:

46L05 General theory of \(C^*\)-algebras
46L35 Classifications of \(C^*\)-algebras
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References:

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