Rational \(C^*\)-algebras and nonstable K-theory
type: Item
instance of: scholarly article
title: Rational \(C^*\)-algebras and nonstable K-theory
zbMATH Open document ID: 0719.46040
published in: Rocky Mountain Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: The aim of this paper is to give some aspects of comparison theory for idempotents or finitely generated projective modules over unital rings, particularly over unital \(C^*\)-algebras. Namely several aspects of nonstable K-theory (that is the processes by which the K-theory data relate back to actual structure of the ring and its projective modules) are discussed, and some new relationships based on results in the theory of abelian semigroups are developed. These results are applied to solve nonstable K-theory problems for certain ``rationalized'' rings.
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 19A13
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 20M14
zbMATH DE Number: 4186405
zbMATH Keywords: comparison theory for idempotents or finitely generated projective modules over unital rings
zbMATH Keywords: unital \(C^ *\)-algebras
zbMATH Keywords: nonstable K-theory
author: Bruce Blackadar
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181073108
OpenAlex ID: W2051285021
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DOI: 10.1216/RMJM/1181073108
description: scientific article