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The Atiyah-Patodi-Singer mod k index theorem for Dirac operators over C∗-algebras.

Authors :
Elmrabty, Adnane
Source :
Monatshefte für Mathematik; Sep2022, Vol. 199 Issue 1, p85-96, 12p
Publication Year :
2022

Abstract

In this paper, we establish a noncommutative refinement for the Z / k Z -index formula of Atiyah-Patodi-Singer (Math. Proc. Cambridge Philos. Soc. 79, 71-99 (1976)) in the case of Spin c Dirac operators. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00269255
Volume :
199
Issue :
1
Database :
Complementary Index
Journal :
Monatshefte für Mathematik
Publication Type :
Academic Journal
Accession number :
158610020
Full Text :
https://doi.org/10.1007/s00605-022-01745-7