F. Abadie, Enveloping actions and Takai duality for partial actions, J. Funct. Anal, vol.197, issue.1, pp.14-67, 2003.

F. Abadie, On partial actions and groupoids, Proc. Amer. Math. Soc, vol.132, issue.4, pp.1037-1047, 2004.

C. Anantharaman-delaroche and J. Renault, Amenable groupoids, Monographies de L'Enseignement Mathématique. L'Enseignement Mathématique, vol.36, 2000.

C. Anantharaman-delaroche, , 2016.

R. Exel, Circle actions on C * -algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence, J. Funct. Anal, vol.122, issue.2, pp.361-401, 1994.

R. Exel, Amenability for Fell bundles, J. Reine Angew. Math, vol.492, pp.41-73, 1997.

R. Exel, Twisted partial actions: a classification of regular C * -algebraic bundles, Proc. London Math. Soc, vol.74, issue.3, pp.417-443, 1997.

R. Exel, Partial dynamical systems, Fell bundles and applications, Mathematical Surveys and Monographs, vol.224, 2017.

J. M. Fell and R. S. Doran, Representations of * -algebras, locally compact groups, and Banach * -algebraic bundles, Pure and Applied Mathematics, vol.1, 1988.

J. M. Fell and R. S. Doran, Representations of * -algebras, locally compact groups, and Banach * -algebraic bundles, Pure and Applied Mathematics, vol.2, 1988.

M. Khoshkam and G. Skandalis, Crossed products of C * -algebras by groupoids and inverse semigroups, J. Oper. Theory, vol.51, issue.2, pp.255-279, 2004.

A. Kumjian, Fell bundles over groupoids, Proc. Amer. Math. Soc, vol.126, issue.4, pp.1115-1125, 1998.

P. Gall, Théorie de Kasparovéquivariante et groupoïdes. I. K-Theory, vol.16, pp.361-390, 1999.

X. Li, Semigroup C * -algebras, Operator algebras and applications-the Abel Symposium, vol.12, pp.191-202, 2015.

K. Mcclanahan, K-theory for partial crossed products by discrete groups, J. Funct. Anal, vol.130, issue.1, pp.77-117, 1995.

P. S. Muhly and D. P. Williams, Equivalence and disintegration theorems for Fell bundles and their C * -algebras, Dissertationes Math, vol.456, pp.1-57, 2008.

A. L. Paterson, Groupoids, inverse semigroups, and their operator algebras, Progress in Mathematics, vol.170, 1999.

J. Quigg and I. Raeburn, Characterisations of crossed products by partial actions, J. Operator Theory, vol.37, issue.2, pp.311-340, 1997.

J. Quigg and N. Sieben, C * -actions of r-discrete groupoids and inverse semigroups, J. Austral. Math. Soc. Ser. A, vol.66, issue.2, pp.143-167, 1999.

I. Raeburn and D. P. Williams, Pull-backs of C * -algebras and crossed products by certain diagonal actions, Trans. Amer. Math. Soc, vol.287, issue.2, pp.755-777, 1985.

J. Renault, A groupoid approach to C * -algebras, Lecture Notes in Mathematics, vol.793, 1980.

J. Renault, Représentation des produits croisés d'algèbres de groupoïdes, J. Operator Theory, vol.18, issue.1, pp.67-97, 1987.

J. N. Renault and D. P. Williams, Amenability of groupoids arising from partial semigroup actions and topological higher rank graphs, Trans. Amer. Math. Soc, vol.369, issue.4, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01133236

A. Sims and D. P. Williams, Amenability for Fell bundles over groupoids, Illinois J. Math, vol.57, issue.2, pp.429-444, 2013.

A. Sims and D. P. Williams, An equivalence theorem for reduced Fell bundle C * -algebras, New York J. Math, vol.19, pp.159-178, 2013.

J. Spielberg, Groupoids and C * -algebras for categories of paths, Trans. Amer. Math. Soc, vol.366, issue.11, pp.5771-5819, 2014.

T. Takeishi, On nuclearity of C * -algebras of Fell bundles overétale groupoids, Publ. Res. Inst. Math. Sci, vol.50, issue.2, pp.251-268, 2014.

J. Tu, P. Xu, and C. Laurent-gengoux, Twisted K-theory of differentiable stacks, Ann. Sci.École Norm. Sup, vol.37, issue.4, pp.841-910, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00104608

D. P. Williams, Crossed products of C * -algebras, Mathematical Surveys and Monographs, vol.134, 2007.

D. P. Williams, A Tool Kit for Groupoid C * -algebras, volume 241 of Mathematical Surveys and Monographs, 2019.

S. Yamagami, On primitive ideal spaces of C * -algebras over certain locally compact groupoids, Mappings of operator algebras, vol.84, pp.199-204, 1988.

, 6759; F-45067 Orléans Cedex 2, France E-mail address, Route de Chartres, B.P, vol.7013