Graded C*-algebras, Graded K-theory, And Twisted P-graph C*-algebras

@article{Kumjian2017GradedCG,
  title={Graded C*-algebras, Graded K-theory, And Twisted P-graph C*-algebras},
  author={Alex Kumjian and David Pask and Aidan Sims},
  journal={arXiv: Operator Algebras},
  year={2017},
  pages={295}
}
We develop methods for computing graded K-theory of C*-algebras as defined in terms of Kasparov theory. We establish graded versions of Pimsner's six-term sequences for graded Hilbert bimodules whose left action is injective and by compacts, and a graded Pimsner-Voiculescu sequence. We introduce the notion of a twisted P-graph C*-algebra and establish connections with graded C*-algebras. Specifically, we show how a functor from a P-graph into the group of order two determines a grading of the… 

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