• Corpus ID: 119630845

Twisted K-theory

  title={Twisted K-theory},
  author={Michael Francis Atiyah and Graeme B. Segal},
  journal={arXiv: K-Theory and Homology},
Twisted complex K-theory can be defined for a space X equipped with a bundle of complex projective spaces, or, equivalently, with a bundle of C ∗ -algebras. Up to equivalence, the twisting corresponds to an element of H 3 (X; Z). We give a systematic account of the definition and basic properties of the twisted theory, emphasizing some points where it behaves differently from ordinary K-theory. (We omit, however, its relations to classical coho- mology, which we shall treat in a sequel.) We… 
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