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

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

2009-05-05

arxiv.org/abs/0905.0680v1

Mathematics

Operator Algebras

Scientific paper

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.

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