Topological Hochschild homology and the Bass trace conjecture
Author:
Berrick A. J.,Hesselholt Lars
Abstract
AbstractWe use the methods of topological Hochschild homology to shed new light on groups satisfying the Bass trace conjecture. Factorization of the Hattori–Stallings rank map through the Bökstedt–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
Funder
NUS
Singapore Ministry of Education
JSPS
DNRF Niels Bohr Professorship
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,General Mathematics
Cited by
2 articles.
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1. Poincaré complex diagonals and the Bass trace conjecture;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-07-28
2. On the multiplicativity of the Euler characteristic;Proceedings of the American Mathematical Society;2023-07-21