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Topological K-theory

{c}
{title2=$K^0(\mathbb{CP}^n)$}

If $t=1-[\overline\gamma]$ for the tautological complex line bundle, then
$$
K^0(\mathbb{CP}^n)\cong\mathbb Z[t]/(t^{n+1}),
\qquad
K^{-1}(\mathbb{CP}^n)=0.
$$


Complex K-theory of complex projective space

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 142 / 2 / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 142 / 4 / Solution

Complex K-theory of complex projective space ( $K^{0} (CP^{n})$ )

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Complex K-theory of complex projective space (K0(CPn))

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