\(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras
type: Item
instance of: scholarly article
title: \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras
zbMATH Open document ID: 1113.19006
author: Devraj Basu
published in: \(K\)-Theory
publication date: 2007-02-13T00:00:00Z
review text: A von Neumann realization of K-theory for spaces \(X\) with \(\mathbb R/\mathbb Z\) coefficients and its equivalence with the Atiyah-Patodi-Singer and Karoubi realizations of the K-theory \(K^1(X, \mathbb R/\mathbb Z)\) is discussed. Furthermore, an index pairing associated with \(K^1(X, \mathbb R/\mathbb Z)\) is constructed. Minor errors are found in this article, especially, in the references. Also, the item \([T]\) is not found there.
reviewed by: Takahiro Sudo
Mathematics Subject Classification ID: 19K56
Mathematics Subject Classification ID: 55N15
Mathematics Subject Classification ID: 55R50
zbMATH DE Number: 5125369
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: K-theory
zbMATH Keywords: index theorem
MaRDI profile type: Publication
full work available at URL: s10977-006-7110-2
OpenAlex ID: W2148831504
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DOI: 10.1007/S10977-006-7110-2
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description: scientific article; zbMATH DE number 5125369