Multiplicativity of the JLO-character
type: Item
instance of: scholarly article
title: Multiplicativity of the JLO-character
zbMATH Open document ID: 1233.19002
DOI: 10.4171/JNCG/80
author: Otgonbayar Uuye
published in: Journal of Noncommutative Geometry
publication date: 2011-10-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/0910.0360
review text: The paper presents some interesting results concerning the multiplicative property of the index map in non-commutative geometry, where \(\theta\)-summable spectral triples play the role of \(K\)-homology classes and the Jaffe-Lesniewski-Osterwalder character (JLO-character) replaces the homological Chern character. The main results of the paper is Theorem 3.11 which assert that the JLO-character is compatible with the \(A_{\infty}\)-exterior product structure on entire chains.
reviewed by: Le Anh Vu
Mathematics Subject Classification ID: 19K56
Mathematics Subject Classification ID: 46L87
zbMATH DE Number: 5959389
zbMATH Keywords: spectral triple
zbMATH Keywords: JLO-character
zbMATH Keywords: exterior product
zbMATH Keywords: \(A_{\infty}\)-structure
zbMATH Keywords: non-commutative geometry
MaRDI profile type: Publication
arXiv ID: 0910.0360
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