Geodesic
A characterization of semiprojectivity for subhomogeneous $C^*$-algebras
Documenta mathematica, Tome 21 (2016), pp. 987-1049
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We study semiprojective, subhomogeneous C∗-algebras and give a detailed description of their structure. In particular, we find two characterizations of semiprojectivity for subhomogeneous mboxC∗-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 mboxC∗-algebras.
DOI : 10.4171/dm/551
Classification : 46L05, 46L80, 46L85, 54C55, 54F50
Mots-clés : C\^\*-algebras, semiprojectivity, subhomogeneous, quantum permutation algebras 
@article{10_4171_dm_551,
     author = {Dominic Enders},
     title = {A characterization of semiprojectivity for subhomogeneous $C^*$-algebras},
     journal = {Documenta mathematica},
     pages = {987--1049},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/551},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/551/}
}
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Dominic Enders. A characterization of semiprojectivity for subhomogeneous $C^*$-algebras. Documenta mathematica, Tome 21 (2016), pp. 987-1049. doi: 10.4171/dm/551

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