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Stable splittings of the complex connective $K$-theory of $BG$ for some infinite groups $G$
by Ying Chih Tseng   Dung Yung Yan

Vol. 2 No. 3 (2007) P.687~P.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.

KEYWORDS
Stable splitting, complex connective $K$-theory, $bu$, theorem of Ossa

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 55P10, 55N20, 55N15, 55S10

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