A universal coefficient theorem for twisted K-theory

作者：Khorami Mehdi^*

来源：Journal of Topology, 2011, 4(3): 535-542.

DOI：10.1112/jtopol/jtr011

We prove that, for a space X equipped with a principal CP(infinity) -bundle P -> X, the Z(2)-graded P-twisted K-theory of X can be computed via a 'universal coefficient' isomorphism
K(*)(p) (X) congruent to K(*)(P) circle times K(0()CP(infinity)) (Z),
where the K(0)(CP(infinity))- module structure of Z is obtained from a certain ring homomorphism epsilon : K(0)(CP(infinity)) -> Z.

• 出版日期2011