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Real topological Ho...
Real topological Hochschild homology
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- Dotto, Emanuele (författare)
- Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England.
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- Moi, Kristian (författare)
- KTH,Matematik (Inst.)
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- Patchkoria, Irakli (författare)
- Univ Aberdeen, Inst Math, Fraser Noble Bldg, Aberdeen AB24 3UE, Scotland.
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Reeh, Sune Precht (författare)
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Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England Matematik (Inst.) (creator_code:org_t)
- European Mathematical Society - EMS - Publishing House GmbH, 2021
- 2021
- Engelska.
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Ingår i: Journal of the European Mathematical Society (Print). - : European Mathematical Society - EMS - Publishing House GmbH. - 1435-9855 .- 1435-9863. ; 23:1, s. 63-152
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.4...
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Abstract
Ämnesord
Stäng
- This paper interprets Hesselholt and Madsen's real topological Hochschild homology functor THR in terms of the multiplicative norm construction. We show that THR satisfies cofinality and Morita invariance, and that it is suitably multiplicative. We then calculate its geometric fixed points and its Mackey functor of components, and show a decomposition result for group algebras. Using these structural results we determine the homotopy type of THR(F-p) and show that its bigraded homotopy groups are polynomial on one generator over the bigraded homotopy groups of H F-p. We then calculate the homotopy type of THR(Z) away from the prime 2, and the homotopy ring of the geometric fixed points spectrum Phi(Z/2) THR(Z).
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Hochschild homology
- involution
- ring spectra
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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