Examples of odd index theorems
type: Item
instance of: scholarly article
title: Examples of odd index theorems
zbMATH Open document ID: 1120.58019
DOI: 10.1016/S0034-4877(06)80007-8
published in: Reports on Mathematical Physics
publication date: 2007-03-27T00:00:00Z
review text: The index theory of Toeplitz and Wiener-Hopf operators was applied by Hurst and Carey to quantum field theory in the late 70s and early 80s of the previous century. In this note, the author explain its relation to some recent works of Carey and his collaborators in noncommutative geometry. Especially, the author explains an odd analogue of Connes and Moscovici's index theorem, i.e., an index theorem for Toeplitz operators in noncommutative geometry [\textit{A. L. Carey, J. Phillips, A. Rennie} and \textit{F. A. Sukochev}, Adv. Math. 202, No. 2, 451--516 (2006; Zbl 1118.46060)]. Here ``odd'' means that one considers the ungraded spectral triples.
reviewed by: Xiaonan Ma
Mathematics Subject Classification ID: 58J42
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 58J22
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 81R60
zbMATH DE Number: 5137538
zbMATH Keywords: index theory
zbMATH Keywords: quantum field theory
zbMATH Keywords: noncommutative geometry
author: A. L. Carey
MaRDI profile type: Publication
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full work available at URL: s0034-4877(06)80007-8
OpenAlex ID: W2035957147
description: scientific article; zbMATH DE number 5137538