Coarse K-Homology
| Autor: | Alexander Engel, Ulrich Bunke |
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| Rok vydání: | 2020 |
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| Zdroj: | Lecture Notes in Mathematics ISBN: 9783030513344 |
| DOI: | 10.1007/978-3-030-51335-1_8 |
| Popis: | This final section of the book is devoted to the construction and investigation of coarse K-homology. This coarse homology theory and its applications to index theory, geometric group theory and topology are one of the driving forces of development in coarse geometry. A central result is the coarse Baum–Connes conjecture which asserts that under certain conditions on a bornological coarse space the assembly map from the coarsification of the locally finite version of K-theory to the K-theory of a certain Roe algebra associated to the bornological coarse space is an equivalence. |
| Databáze: | OpenAIRE |
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