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2007 / September Volume 2 No.3
Stable splittings of the complex connective $K$-theory of $BG$ for some infinite groups $G$
Published Date
2007 / September
Title
Stable splittings of the complex connective $K$-theory of $BG$ for some infinite groups $G$
Author
Ying Chih Tseng, Dung Yung Yan
Keyword
Stable splitting, complex connective K-theory, bu, theorem of Ossa, Stable splitting, complex connective $K$-theory, $bu$, theorem of Ossa
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Pagination
687-712
Abstract
We show that $bu \wedge BO(n)$ splits as a wedge product of suspended copies of $HZ/2$, $bu$, and $bu \wedge BO(1)$ at prime 2 for $n = 2, 3,$ and 4. Similarly, we show that $bu \wedge BSO(2n + 1)$ splits as a wedge product of suspended copies of $HZ/2$ and $bu$ at prime 2 for $n = 1$ and 2.
AMS Subject
Classification
55P10, 55N20, 55N15, 55S10
Received
2006-05-15
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