Topological hochschild homology of ℓ and ko

Vigleik Angeltveit; Michael A. Hill; Tyler Lawson

doi:10.1353/ajm.0.0105

Topological hochschild homology of ℓ and ko

Vigleik Angeltveit, Michael A. Hill, Tyler Lawson

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We calculate the integral homotopy groups of THH (ℓ) at any prime and of THH (ko) at p = 2, where ℓ is the Adams summand of the connective complex p-local K-theory spectrum and ko is the connective real K-theory spectrum.

Original language	English (US)
Pages (from-to)	297-330
Number of pages	34
Journal	American Journal of Mathematics
Volume	132
Issue number	2
DOIs	https://doi.org/10.1353/ajm.0.0105
State	Published - Apr 2010

Access

10.1353/ajm.0.0105

OpenUrl availability

Full text

Cite this

@article{c7ff049343c54b95bf753e009c22d74a,

title = "Topological hochschild homology of ℓ and ko",

abstract = "We calculate the integral homotopy groups of THH (ℓ) at any prime and of THH (ko) at p = 2, where ℓ is the Adams summand of the connective complex p-local K-theory spectrum and ko is the connective real K-theory spectrum.",

author = "Vigleik Angeltveit and Hill, {Michael A.} and Tyler Lawson",

year = "2010",

month = apr,

doi = "10.1353/ajm.0.0105",

language = "English (US)",

volume = "132",

pages = "297--330",

journal = "American Journal of Mathematics",

issn = "0002-9327",

publisher = "Johns Hopkins University Press",

number = "2",

}

TY - JOUR

T1 - Topological hochschild homology of ℓ and ko

AU - Angeltveit, Vigleik

AU - Hill, Michael A.

AU - Lawson, Tyler

PY - 2010/4

Y1 - 2010/4

N2 - We calculate the integral homotopy groups of THH (ℓ) at any prime and of THH (ko) at p = 2, where ℓ is the Adams summand of the connective complex p-local K-theory spectrum and ko is the connective real K-theory spectrum.

AB - We calculate the integral homotopy groups of THH (ℓ) at any prime and of THH (ko) at p = 2, where ℓ is the Adams summand of the connective complex p-local K-theory spectrum and ko is the connective real K-theory spectrum.

UR - http://www.scopus.com/inward/record.url?scp=77951088583&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77951088583&partnerID=8YFLogxK

U2 - 10.1353/ajm.0.0105

DO - 10.1353/ajm.0.0105

M3 - Article

AN - SCOPUS:77951088583

SN - 0002-9327

VL - 132

SP - 297

EP - 330

JO - American Journal of Mathematics

JF - American Journal of Mathematics

IS - 2

ER -

Topological hochschild homology of ℓ and ko

Abstract

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this