Stability in the Cuntz Semigroup of a Commutative C * -algebra

@inproceedings{Toms2006StabilityIT,
  title={Stability in the Cuntz Semigroup of a Commutative C * -algebra},
  author={Andrew S. Toms},
  year={2006}
}
Let A be a C-algebra. The Cuntz semigroup W (A) is an analogue for positive elements of the semigroup V (A) of Murray-von Neumann equivalence classes of projections in matrices over A. We prove stability theorems for the Cuntz semigroup of a commutative C-algebra which are analogues of classical stability theorems for topological vector bundles over compact Hausdorff spaces. Let SDG denote the class of simple, unital, and infinite-dimensional AH algebras with slow dimension growth, and let A be… CONTINUE READING