Stable splitting of the complex connective K-theory of BO(n)

W. Stephen Wilson; Dung Yung Yan

doi:10.1016/j.topol.2011.12.021

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Stable splitting of the complex connective K-theory of BO(n)

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Stable splitting of the complex connective K-theory of BO(n)

W. Stephen Wilson and Dung Yung Yan

Topology and its Applications, Vol.159(5), pp.1409-1414

15/03/2012

DOI: https://doi.org/10.1016/j.topol.2011.12.021

Abstract

Classifying space

Complex connective K-theory

Stable splitting

We give the complete stable splitting of the complex connective K-theory of the classifying space of the n-th orthogonal group for all n≥1. Only three types of spectra show up: bu, mod 2 Eilenberg-Mac Lane spectra, and buRP ^∞ . © 2012 Elsevier B.V.

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Title: Stable splitting of the complex connective K-theory of BO(n)
Creators - without role: W. Stephen Wilson - Johns Hopkins University
Dung Yung Yan - National Tsing Hua University
Publication Details: Topology and its Applications, Vol.159(5), pp.1409-1414
Identifiers: 9957772713106774
Academic Unit: National Tsing Hua University
Language: English
Resource Type: Journal article

Stable splitting of the complex connective K-theory of BO(n)

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