We prove a cancellation theorem for simple refinement monoids satisfying the weak comparability condition, first introduced by K.C. O'Meara in the context of von Neumann regular rings. This result is then applied to von Neumann regular rings and C*-algebras of real rank zero via the monoid of isomorphism classes of finitely generated protective modules. ©1996 American Mathematical Society.
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 1 Dec 1996|
- C*-algebra with real rank zero
- Refinement monoid
- Von Neumann regular ringm weak comparability