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The coarse index
class with support
Ulrich Bunke and Alexander Engel |
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Vol. 7 (2025), No. 2, 339–378
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Abstract |
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We construct the coarse index class with a support condition of an equivariant Dirac operator on a complete Riemannian manifold endowed with a proper and isometric action of a group as a class of the spectrum-valued equivariant coarse -homology theory (Ann. K-Theory 8:2 (2023), 141–220). Moreover we show a coarse relative index theorem and discuss the compatibility of the index with the suspension isomorphism. |
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Keywords
coarse index, Dirac operator, coarse $K$-homology
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Mathematical Subject Classification
Primary: 19K56
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Milestones
Received: 30 March 2024
Revised: 16 November 2024
Accepted: 6 December 2024
Published: 9 May 2025
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Authors |
| Ulrich Bunke | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
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| Alexander Engel | |
| Institut für Mathematik und
Informatik Universität Greifswald Greifswald Germany |
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| © 2025 MSP (Mathematical Sciences Publishers). |
