Topological Hochschild homology and the Bass trace conjecture

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Standard

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

Harvard

Berrick, AJ & Hesselholt, L 2015, 'Topological Hochschild homology and the Bass trace conjecture', Journal für die reine und angewandte Mathematik, bind 704, s. 169–185. https://doi.org/10.1515/crelle-2013-0051

APA

Berrick, A. J., & Hesselholt, L. (2015). Topological Hochschild homology and the Bass trace conjecture. Journal für die reine und angewandte Mathematik, 704, 169–185. https://doi.org/10.1515/crelle-2013-0051

Vancouver

Berrick AJ, Hesselholt L. Topological Hochschild homology and the Bass trace conjecture. Journal für die reine und angewandte Mathematik. 2015;704:169–185. https://doi.org/10.1515/crelle-2013-0051

Author

Berrick, A. J. ; Hesselholt, Lars. / Topological Hochschild homology and the Bass trace conjecture. I: Journal für die reine und angewandte Mathematik. 2015 ; Bind 704. s. 169–185.

Bibtex

@article{797f61cd8f4d47c6b85b9c05cc9d59f5,
title = "Topological Hochschild homology and the Bass trace conjecture",
abstract = "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 B{\"o}kstedt–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. ",
author = "Berrick, {A. J.} and Lars Hesselholt",
year = "2015",
doi = "10.1515/crelle-2013-0051",
language = "English",
volume = "704",
pages = "169–185",
journal = "Journal fuer die Reine und Angewandte Mathematik",
issn = "0075-4102",
publisher = "Walterde Gruyter GmbH",

}

RIS

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