Engel, Alexander (2019) Uniform K-theory, and Poincare duality for uniform K-homology. JOURNAL OF FUNCTIONAL ANALYSIS, 276 (7). pp. 2103-2155. ISSN 0022-1236, 1096-0783
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We revisit Spakula's uniform K-homology, construct the external product for it and use this to deduce homotopy invariance of uniform K-homology. We define uniform K-theory and on manifolds of bounded geometry we give an interpretation of it via vector bundles of bounded geometry. We further construct a cap product with uniform K-homology and prove Poincare duality between uniform K-theory and uniform K-homology on spin(c) manifolds of bounded geometry. (C) 2018 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CURVATURE; K-homology; K-theory; Bounded geometry; Poincare duality |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Apr 2020 05:26 |
| Last Modified: | 16 Apr 2020 05:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27316 |
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