A characterization of semiprojectivity for subhomogeneous -algebras
Dominic EndersUniversity of Copenhagen Department of Mathematical Sciences Universitetsparken 5 2100 Copenhagen, Denmark
We study semiprojective, subhomogeneous -algebras and give a detailed description of their structure. In particular, we find two characterizations of semiprojectivity for subhomogeneous mbox-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-algebras.
Cite this article
Dominic Enders, A characterization of semiprojectivity for subhomogeneous -algebras. Doc. Math. 21 (2016), pp. 987–1049DOI 10.4171/DM/551