Abstract
We give a number of new characterizations of the Jiang-Su algebra Z, both intrinsic and extrinsic, in terms of C*-algebraic, dynamical, topological and K-theoretic conditions. Along the way we study divisibility properties of C*-algebras, we give a precise characterization of those unital C*-algebras of stable rank one that admit a unital embedding of the dimension-drop C*-algebra Z n, n+1, and we prove a cancellation theorem for the Cuntz semigroup of C*-algebras of stable rank one.
| Original language | English |
|---|---|
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Volume | 642 |
| Pages (from-to) | 129-155 |
| Number of pages | 26 |
| ISSN | 0075-4102 |
| Publication status | Published - May 2010 |