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[1] Adem, A., Leida, J., and Ruan, Y., Orbifolds and Stringy Topology. Cambridge Tracts in Mathematics 171, Cambridge University Press, Cambridge 2007.

[2] Adem, A. and Ruan, Y., Twisted orbifold K-theory. Comm. Math. Phys. 237(2003), no. 3, 533–556.

[3] Bredon, G., Equivariant Cohomology Theories. Lecture Notes in Mathematics 34. Springer-Verlag, Berlin, 1967.

[4] Chen, W. and Ruan, Y., A new cohomology theory of orbifold. Comm. Math. Phys. 248(2004), no.1, 1–31.

[5] Haefliger, A., Groupöıdes d’holonomie et classifiants. Astérisque No. 116(1984), 70–97.

[6] Honkasalo, H., Equivariant Alexander-Spanier cohomology for actions of compact Lie groups. Math. Scand. 67(1990), no. 1, 23–34.

[7] Henriques, A. and Metzler, D., Presentations of noneffective orbifolds. Trans. Amer. Math. Soc. 356(2004), no. 6, 2481–2499. doi:10.1090/S0002-9947-04-03379-3.

[8] Hilsum, M. and Skandalis, G., Morphismes K-orientés d’espaces de feuilles et fonctorialité en théorie de Kasparov (d’aprés une conjecture d’A. Connes). Ann. Sci. École Norm. Sup. 20(1987), no. 3, 325–390.

[9] Lupercio, E. and Uribe, B., Gerbes over orbifolds and twisted K-theory,. Comm. Math. Phys. 245(2004), no. 3, 449–489. doi:10.1007/s00220-003-1035-x

[10] May, J. P., Equivariant Homotopy and Cohomology Theory. CB MS Regional Conference Series in Mathematics 91. American Mathematical Society, Providence, RI, 1996.

[11] Moerdijk, I., The classifying topos of a continuous groupoid. I. Trans. Amer. Math. Soc. 310(1988), no. 2, 629–668. doi:10.2307/2000984

[12] Moerdijk, I., Orbifolds as groupoids: an introduction. In: Orbifolds in Mathematics and Physics. Contemp. Math. 310. American Mathematical Society, Providence, RI, 2002, pp. 205–222.

[13] Moerdijk, I. and Mrčun, J., Lie groupoids, sheaves and cohomology. In: Poisson Geometry, Deformation Quantisation and Group Representations. London Math. Soc. Lecture Note Ser. 323. Cambridge University Press, Cambridge, 2005, pp. 145–272.

[14] Moerdijk, I., and Pronk, D. A., Orbifolds, sheaves and groupoids. K-Theory 12(1997), no. 1, 3–21. doi:10.1023/A:1007767628271

[15] Moerdijk, I., and Svensson, J. A., A Shapiro lemma for diagrams of spaces with applications to equivariant topology. Compositio Math. 96(1995), no. 3, 249–282.

[16] Mrčun, J., Functoriality of the bimodule associated to a Hilsum-Skandalis map. K-Theory 18(1999),no. 3, 235–253. doi:10.1023/A:1007773511327

[17] Pradines, J., Morphisms between spaces of leaves viewed as fractions. Cahiers Topologie Géom. Différentielle Catég. 30(1989), no. 3, 229–246.

[18] Pronk, D. A., Groupoid Representations for Sheaves on Orbifolds, Ph.D. thesis, Utrecht, 1995.

[19] Pronk, D. A., Etendues and stacks as bicategories of factions. Compositio Math. 102(1996), no. 3, 243–303.

[20] Satake, I., On a generalization of the notion of manifold. Proc. Nat. Acad. Sci. U.S.A. 42(1956), 359–363. doi:10.1073/pnas.42.6.359

[21] Satake, I., The Gauss-Bonnet theorem for V-manifolds. J. Math. Soc. Japan 9(1957), 464–492.

[22] Segal, G. B., Equivariant K-theory. Inst. Hautes Études Sci. Publ. Math. No. 34(1968), 129–151.

[23] Willson, S. J., Equivariant homology theories on G-complexes. Trans. Amer. Math. Soc. 212(1975), 155–271. doi:10.2307/1998619