COVERINGS OF SKEW-PRODUCTS AND CROSSED PRODUCTS BY COACTIONS

@article{Pask2007COVERINGSOS,
  title={COVERINGS OF SKEW-PRODUCTS AND CROSSED PRODUCTS BY COACTIONS},
  author={David Pask and John Quigg and Aidan Sims},
  journal={Journal of the Australian Mathematical Society},
  year={2007},
  volume={86},
  pages={379 - 398}
}
Abstract Consider a projective limit G of finite groups Gn. Fix a compatible family δn of coactions of the Gn on a C*-algebra A. From this data we obtain a coaction δ of G on A. We show that the coaction crossed product of A by δ is isomorphic to a direct limit of the coaction crossed products of A by the δn. If A=C*(Λ) for some k-graph Λ, and if the coactions δn correspond to skew-products of Λ, then we can say more. We prove that the coaction crossed product of C*(Λ) by δ may be realized as a… 
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