A Universal coefficient theorem for twisted K-theory

corresponding to a three dimensional integral cohomology class of a space X, there exist a 'universal coefficient' isomorphism K_{*}^{\tau}(X)\cong K_{*}(P_{\tau})\otimes_{K_{*}(\mathbb{C}P^{\infty})} \hat{K}_{*} where

P_\tau

is the total space of the principal

\mathbb{C}P^{\infty}

-bundle induced over X by

\tau

and

\hat K_*

is obtained form the action of

\mathbb{C}P^{\infty}

on K-theory.

Note:

Ph.D.Thesis (Advisor: Mark Honey)

K-theory: twist
dimension: 3
cohomology

References(11)

Figures(0)

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Twisted equivariant K-theory with complex coefficients

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