On the asymptotic homotopy type of inductive limit C*-algebras.
Reduction to dimension three of local spectra of real rank zero C*-algebras.
Bounded solutions for singular boundary value problems
Trivialization of -algebras with strongly self-absorbing fibres
Suppose is a separable unital -algebra each fibre of which is isomorphic to the same strongly self-absorbing and -injective -algebra . We show that and are isomorphic as -algebras provided the compact Hausdorff space is finite-dimensional. This statement is known not to extend to the infinite-dimensional case.
Classifying C*-algebras via ordered, mod-p K-theory.
Extensions of certain real rank zero -algebras
G. Elliott extended the classification theory of -algebras to certain real rank zero inductive limits of subhomogeneous -algebras with one dimensional spectrum. We show that this class of -algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the -group. Perturbation and lifting results are provided for certain subhomogeneous -algebras.
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