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

P. Ara; E. Pardo

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

P. Ara, E. Pardo

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-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 language	English
Pages (from-to)	715-720
Journal	Proceedings of the American Mathematical Society
Volume	124
Issue number	3
Publication status	Published - 1 Dec 1996

Keywords

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

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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. {\textcopyright}1996 American Mathematical Society.",

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AU - Pardo, E.

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N2 - 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.

AB - 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.

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KW - Refinement monoid

KW - Von Neumann regular ringm weak comparability

M3 - Article

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EP - 720

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ER -