Refinement monoids with weak comparability and applications to regular rings and c*-algebras

P. Ara, E. Pardo

Research output: Contribution to journalArticleResearchpeer-review

22 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)715-720
JournalProceedings of the American Mathematical Society
Volume124
Issue number3
Publication statusPublished - 1 Dec 1996

Keywords

  • C*-algebra with real rank zero
  • Refinement monoid
  • Von Neumann regular ringm weak comparability

Fingerprint Dive into the research topics of 'Refinement monoids with weak comparability and applications to regular rings and c*-algebras'. Together they form a unique fingerprint.

  • Cite this

    Ara, P., & Pardo, E. (1996). Refinement monoids with weak comparability and applications to regular rings and c*-algebras. Proceedings of the American Mathematical Society, 124(3), 715-720.