The classification of separable simple C∗-algebras which are inductive limits of continuous-trace C∗-algebras with spectrum homeomorphic to the closed interval [0 , 1]

Elliott, George A.; Ivanescu, Cristian

The classification of separable simple C∗-algebras which are inductive limits of continuous-trace C∗-algebras with spectrum homeomorphic to the closed interval [0 , 1]

Author

Elliott, George A.

Ivanescu, Cristian

Date

2008

Keywords

K-theory, classification, C∗-algebras, inductive limits, real rank zero

Abstract (summary)

A classification is given of certain separable nuclear C∗-algebras not necessarily of real rank zero, namely, the class of separable simple C∗-algebras which are inductive limits of continuous-trace C∗-algebras whose building blocks have spectrum homeomorphic to the closed interval [0, 1], or to a disjoint union of copies of this space. Also, the range of the invariant is calculated.

Publication Information

Elliott, G. A., & Ivanescu, C. (2008). The classification of separable simple C ∗ -algebras which are inductive limits of continuous-trace C ∗ -algebras with spectrum homeomorphic to the closed interval [ 0 , 1 ]. Journal of Functional Analysis, 254(4), 879–903. https://doi.org/10.1016/j.jfa.2007.11.015