Geodesic
A characterization of semiprojectivity for subhomogeneous $C^*$-algebras
Documenta mathematica, Tome 21 (2016), pp. 987-1049.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study semiprojective, subhomogeneous $C^*$-algebras and give a detailed description of their structure. In particular, we find two characterizations of semiprojectivity for subhomogeneous mbox$C^*$-algebras: one in terms of their primitive ideal spaces and one by means of special direct limit structures over one-dimensional NCCW complexes. These results are obtained by working out several new permanence results for semiprojectivity, including a complete description of its behavior with respect to extensions by homogeneous mbox$C^*$-algebras.
Classification : 46L05, 46L80, 46L85, 54C55, 54F50
Keywords: C^*-algebras, semiprojectivity, subhomogeneous, quantum permutation algebras 
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     author = {Enders, Dominic},
     title = {A characterization of semiprojectivity for subhomogeneous $C^*$-algebras},
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     volume = {21},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a17/}
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Enders, Dominic. A characterization of semiprojectivity for subhomogeneous $C^*$-algebras. Documenta mathematica, Tome 21 (2016), pp. 987-1049. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a17/