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Von Neumann regular rings: connections with functional analysis

1981/01/01 by K. R. Goodearl · 2 citations
Mathematics · #Rings, Modules, and Algebras #Advanced Topics in Algebra

paper · pdf · doi:10.1090/s0273-0979-1981-14865-5

openalex publication_date 1981/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07

Abstract

Most ring theorists and functional analysts are at least vaguely aware that von Neumann invented regular rings 45 years ago in connection with certain operator algebras, but that connection has grown rusty and pretty much disused as regular rings and operator algebras have gone their separate ways. My purpose here is to report on several more recent connections between regular rings and functional analysis, developed in the past decade, through which each subject has made a positive contribution to the other.

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