English

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

Operator Algebras 2009-05-06 v1

Abstract

A class of C*-algebras is described for which the homomorphism from C0(0,1]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.

Keywords

Cite

@article{arxiv.0905.0680,
  title  = {Classification of homomorphisms from $C_0(0,1]$ to a C*-algebra},
  author = {Leonel Robert and Luis Santiago},
  journal= {arXiv preprint arXiv:0905.0680},
  year   = {2009}
}
R2 v1 2026-06-21T12:58:30.494Z