Topological Hochschild homology and the Bass trace conjecture
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Topological Hochschild homology and the Bass trace conjecture. / Berrick, A. J. ; Hesselholt, Lars.
I: Journal für die reine und angewandte Mathematik, Bind 704, 2015, s. 169–185.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Topological Hochschild homology and the Bass trace conjecture
AU - Berrick, A. J.
AU - Hesselholt, Lars
PY - 2015
Y1 - 2015
N2 - We 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 G wherein every subgroup isomorphic to the additive group of rational numbers has nontrivial and central image in some quotient of G.
AB - We 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 G wherein every subgroup isomorphic to the additive group of rational numbers has nontrivial and central image in some quotient of G.
U2 - 10.1515/crelle-2013-0051
DO - 10.1515/crelle-2013-0051
M3 - Journal article
VL - 704
SP - 169
EP - 185
JO - Journal fuer die Reine und Angewandte Mathematik
JF - Journal fuer die Reine und Angewandte Mathematik
SN - 0075-4102
ER -
ID: 148644349