Topological Hochschild homology and the Bass trace conjecture
| Autor: | Berrick, A. J., Hesselholt, Lars |
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| Rok vydání: | 2013 |
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| Zdroj: | J. reine angew. Math. 704 (2015), 169-185 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1515/crelle-2013-0051 |
| Popis: | We use the methods of topological Hochschild homology to shed new light on the groups satisfying the Bass trace conjecture. We show that the factorization of the Hattori-Stallings rank map through the Bokstedt-Hsiang-Madsen cyclotomic trace map leads to Linnell's restriction on such groups. As a new consequence of this restriction, we show that the conjecture holds for any group G with the property that every subgroup that is isomorphic to the additive group of rational numbers has nontrivial and central image in some quotient of G. Comment: 16 pages |
| Databáze: | arXiv |
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