TWISTED K-THEORY OF DIFFERENTIABLE STACKS

@inproceedings{JEANLOUIS2004TWISTEDKO,
  title={TWISTED K-THEORY OF DIFFERENTIABLE STACKS},
  author={TU JEAN-LOUIS and X B Ping and CAMILLE LAURENT-GENGOUX},
  year={2004}
}
  • TU JEAN-LOUIS, X B Ping, CAMILLE LAURENT-GENGOUX
  • Published 2004
– In this paper, we develop twisted K-theory for stacks, where the twisted class is given by an S-gerbe over the stack. General properties, including the Mayer–Vietoris property, Bott periodicity, and the product structure K α⊗K β → K i+j α+β are derived. Our approach provides a uniform framework for studying various twisted K-theories including the usual twisted K-theory of topological spaces, twisted equivariant K-theory, and the twisted K-theory of orbifolds. We also present a Fredholm… CONTINUE READING

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