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A residue formula for locally compact noncommutative manifolds. (English) Zbl 07201938
Buskes, Gerard (ed.) et al., Positivity and noncommutative analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday. Based on the workshop “Positivity and Noncommutative Analysis”, Delft, The Netherlands, September 26–28, 2018. Cham: Birkhäuser (ISBN 978-3-030-10849-6/hbk; 978-3-030-10850-2/ebook). Trends in Mathematics, 471-510 (2019).
The authors significantly improve and extend the main results of A. L. Carey et al. [J. Funct. Anal. 263, No. 2, 383–414 (2012; Zbl 1251.46036)]. This became possible due to the recent advances in the theory of singular traces and double operator integrals.
For the entire collection see [Zbl 1431.46001].

58B34 Noncommutative geometry (à la Connes)
58J42 Noncommutative global analysis, noncommutative residues
46L85 Noncommutative topology
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