The Adams isomorphism revisited

Bastiaan Cnossen; Tobias Lenz; Sil Linskens

doi:10.48550/arXiv.2311.04884

The Adams isomorphism revisited

Bastiaan Cnossen
, Tobias Lenz
, Sil Linskens

Research output: Working paper › Preprint › Academic

Abstract

We establish abstract Adams isomorphisms in an arbitrary equivariantly presentable equivariantly semiadditive global category. This encompasses the well-known Adams isomorphism in equivariant stable homotopy theory, and applies more generally in the settings of $G$-Mackey functors, $G$-global homotopy theory, and equivariant Kasparov categories.

Original language	English
Publisher	arXiv
Pages	1-29
Number of pages	29
DOIs	https://doi.org/10.48550/arXiv.2311.04884
Publication status	Published - 8 Nov 2023

Bibliographical note

29 pages

Keywords

math.AT
55U35, 55P91 (Primary)

Access to Document

10.48550/arXiv.2311.04884

2311.04884v1Submitted manuscript, 382 KB

Cite this

@techreport{f849e0a06372481c87c44c4012ec28c5,

title = "The Adams isomorphism revisited",

abstract = "We establish abstract Adams isomorphisms in an arbitrary equivariantly presentable equivariantly semiadditive global category. This encompasses the well-known Adams isomorphism in equivariant stable homotopy theory, and applies more generally in the settings of \$G\$-Mackey functors, \$G\$-global homotopy theory, and equivariant Kasparov categories.",

keywords = "math.AT, 55U35, 55P91 (Primary)",

author = "Bastiaan Cnossen and Tobias Lenz and Sil Linskens",

note = "29 pages",

year = "2023",

month = nov,

day = "8",

doi = "10.48550/arXiv.2311.04884",

language = "English",

pages = "1--29",

publisher = "arXiv",

type = "WorkingPaper",

institution = "arXiv",

}

TY - UNPB

T1 - The Adams isomorphism revisited

AU - Cnossen, Bastiaan

AU - Lenz, Tobias

AU - Linskens, Sil

N1 - 29 pages

PY - 2023/11/8

Y1 - 2023/11/8

N2 - We establish abstract Adams isomorphisms in an arbitrary equivariantly presentable equivariantly semiadditive global category. This encompasses the well-known Adams isomorphism in equivariant stable homotopy theory, and applies more generally in the settings of $G$-Mackey functors, $G$-global homotopy theory, and equivariant Kasparov categories.

AB - We establish abstract Adams isomorphisms in an arbitrary equivariantly presentable equivariantly semiadditive global category. This encompasses the well-known Adams isomorphism in equivariant stable homotopy theory, and applies more generally in the settings of $G$-Mackey functors, $G$-global homotopy theory, and equivariant Kasparov categories.

KW - math.AT

KW - 55U35, 55P91 (Primary)

U2 - 10.48550/arXiv.2311.04884

DO - 10.48550/arXiv.2311.04884

M3 - Preprint

SP - 1

EP - 29

BT - The Adams isomorphism revisited

PB - arXiv

ER -

The Adams isomorphism revisited

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this