Abstract
In this paper, we establish a noncommutative refinement for the \({\mathbb {Z}}/k{\mathbb {Z}}\)-index formula of Atiyah-Patodi-Singer (Math. Proc. Cambridge Philos. Soc. 79, 71-99 (1976)) in the case of \(\text {Spin}^{\text {c}}\) Dirac operators.
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The author is grateful to the referees for valuable comments and suggestions.
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Communicated by Gerald Teschl.
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Elmrabty, A. The Atiyah-Patodi-Singer mod k index theorem for Dirac operators over C\(^*\)-algebras. Monatsh Math 199, 85–96 (2022). https://doi.org/10.1007/s00605-022-01745-7
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DOI: https://doi.org/10.1007/s00605-022-01745-7
Keywords
- Index theory
- Dirac operator
- Noncommutative spectral flow
- Topological K-theory with coefficients
- Geometric K-homology with coefficients