Classification of homomorphisms from $C_0(0,1]$ to a C*-algebra

Leonel Robert; Luis Santiago

paper

Classification of homomorphisms from $C_{0} (0, 1]$ to a C*-algebra

arXiv:0905.0680

Abstract

A class of C*-algebras is described for which the homomorphism from $C_{0} (0, 1]$ to the algebra may be classified by means of the Cuntz semigroup functor. Examples are given of algebras--simple and non-simple--for which this classification fails. It is shown that a suitable suspension of the Cuntz semigroup functor deals successfully with some of these counterexamples.

Classification of homomorphisms from C0​(0,1] to a C*-algebra

Abstract

Classification of homomorphisms from $C_{0} (0, 1]$ to a C*-algebra