Research Papers

• Twisted K-theory for the orbifold [*/G], (j.w. E. Becerra and H. Martínez), Pacific Journal of Mathematics, Vol. 264 (2013), No. 2, 471-490. arxiv.

• Twisted  Equivariant  K-Theory and K-Homology of Sl_3(Z), (j.w. N. Bárcenas), Algebraic and Geometric Topology, Vol. 14 (2014), 823-852. arxiv.

• A configuration space for equivariant connective K-homology, Journal of Noncommutative Geometry, Vol. 9 (2015), No. 4, 1343-1382. arxiv.

• Equivariant K-Theory of Central Extensions and Twisted Equivariant K-theory: Sl3(Z) and St3(Z), (j.w. N.Bárcenas), Homology, Homotopy and Applications, Vol. 18 (2016), 49-70. arxiv.

• Multiplicative Structures and the Twisted Baum-Connes Assembly map, (j.w. N. Bárcenas and P. Carrillo), Transactions of the American Mathematical Society, Vol. 369 (2017), No. 7,  5241-5269. arxiv

• Segal's spectral sequence in twisted equivariant K-theory for proper actions, (j.w. N. Bárcenas, J. Espinoza and B.Uribe), Proceedings of the Edinburg Mathematical Society , Vol. 61 (2018), No. 1, 121-150. arxiv.

• The algebraic and topological K-theory of the Hilbert Modular Group, (j. w. L. J. Sánchez), Homology, Homotopy and Applications, Vol. 20 (2018), No. 2, 377-402. arxiv

• A description of the assembly map for the Baum-Connes conjecture with coefficients, New York Journal of Mathematics, Vol. 29 (2019), 668-686. arxiv

• Hecke operators in Bredon (co)homology, K-(co)homology and Bianchi groups, (j.w. J. Plazas and D. Muñoz),  Journal of Topology and Analysis, Vol. 16, No. 01, pp. 21-52 (2024). arxiv

• The Completion Theorem in twisted equivariant K-Theory for proper and discrete actions, (j.w. N. Bárcenas), Journal of Homotopy and Related Structures,  Vol. 17 (2022), 77-104. arxiv

• On Fredholm boundary conditions on manifolds with corners I: Global corner's cycles obstructions, (j.w. P. Carrillo and J. M. Lescure), Annals of K-theory, Vol. 6 (2021), No. 4, 607-628. arxiv

• Induced character in equivariant K-theory, wreath products and pullback of groups (j.w. G. Combariza and J. E. Rodríguez), Revista Colombiana de Matemáticas, Vol. 56 (2022), No. 1, 35-61. arxiv

• A Fixed Point Decomposition of Twisted Equivariant K-Theory, (j. w. T. Dove and T. Schick), Proceedings of the American Mathematical Society Vol. 151 (2023), No. 11, 4593-4606. arxiv

• Conormal homology of manifolds with corners, (j.w. T. Schick),  Journal of Noncommutative Geometry  Vol. 17 (2023), No. 4, 1425–1436. arxiv

• Positive Scalar Curvature and crystallographic fundamental groups, (j.w. N. Bárcenas), New York Journal of Matehmatics  Vol. 32 (2026), 676-690. arxiv

Preprints

• Bredon Cohomology, K-theory and K-homology of Pullbacks of groups, (j.w. N. Bárcenas and D. Juan). arxiv.

• Proper actions and decompositions in equivariant K-theory, (j.w. A. Angel and E. Becerra), submitted. arxiv

• The topological K-theory of crystallographic groups with holonomy Z/2. arxiv

• On the group cohomology  of groups of the form $\mathbb{Z}^n\rtimes \mathbb{Z}/m$ with $m$ free of squares, (j.w. L.J. Sánchez), submitted. arxiv

• On the K-theory of groups of the form $\mathbb{Z}^n\rtimes \mathbb{Z}/m$ with $m$ square-free, (j.w. L. J. Sánchez), submitted. arxiv