Thomsen, Klaus Homomorphisms between finite direct sums of circle algebras. (English) Zbl 0783.46029 Linear Multilinear Algebra 32, No. 1, 33-50 (1992). 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 \([0,1]\times\mathbb{T}\). Reviewer: V.Ya.Golodets (Khar’kov) Cited in 20 Documents MSC: 46L05 General theory of \(C^*\)-algebras 46L35 Classifications of \(C^*\)-algebras Keywords:circle algebra; finite direct sum of full matrix algebras; compact Hausdorff spaces; \(*\)-homomorphisms PDFBibTeX XMLCite \textit{K. Thomsen}, Linear Multilinear Algebra 32, No. 1, 33--50 (1992; Zbl 0783.46029) Full Text: DOI References: [1] Bhatia R., Pitman Research Notes in Mathematics 162 (1987) [2] DOI: 10.1080/03081088408817578 · Zbl 0539.15010 · doi:10.1080/03081088408817578 [3] DOI: 10.2307/1971472 · Zbl 0718.46024 · doi:10.2307/1971472 [4] Blackadar B., Math. Ann. 131 (1990) [5] Bratteli O., Trans. Amer. Math. Soc. 171 pp 195– (1972) [6] Choi M.-D., Math. Scand. 67 pp 73– (1990) [7] Dadarlat M., Pac. J. Math. 132 pp 227– (1988) · Zbl 0652.46040 · doi:10.2140/pjm.1988.132.227 [8] DOI: 10.1016/0022-1236(89)90048-7 · Zbl 0684.46046 · doi:10.1016/0022-1236(89)90048-7 [9] Dadarlat M., INCREST 85 (1990) [10] Effros E., CBMS Regional Conf. Ser. in Math. 46, Amer. Math. Soc (1981) [11] Effros E., Proc. Sympos. Pure Math. 38 pp 19– (1980) [12] Elliott G. A., On the classification of C-algebras of real rank zero 38 (1990) [13] DOI: 10.1016/0022-1236(84)90053-3 · Zbl 0554.46026 · doi:10.1016/0022-1236(84)90053-3 [14] DOI: 10.2307/2374400 · Zbl 0585.46048 · doi:10.2307/2374400 [15] Kato T., Perturbation Theory for Linear Operators (1966) · Zbl 0148.12601 [16] DOI: 10.1512/iumj.1986.35.35016 · Zbl 0564.46052 · doi:10.1512/iumj.1986.35.35016 [17] Pasnicu C., Operators in Indefinite Metric Spaces, Scattering Theory and Other Topi pp 283– (1987) [18] Pasnicu C., Trans Amer. Math. Soc. 310 pp 703– (1988) [19] Thomson K., Math. Scand. 60 pp 219– (1987) · Zbl 0611.46060 · doi:10.7146/math.scand.a-12181 [20] DOI: 10.1515/crll.1988.383.109 · Zbl 0627.46070 · doi:10.1515/crll.1988.383.109 [21] Thomsen K., to appear in Journal of Operator Theory 383 (1988) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.