In preparation

Preprints

• Becky Armstrong, Lisa Orloff Clark, Astrid an Huef, D. Martínez and I. Tolich, A Dichotomy for Inverse-Semigroup Crossed Products via Dynamical Cuntz Semigroups, preprint https://arxiv.org/abs/2601.07100 (2026).
• D. Martínez and N. Szakács, Algebraic singular functions are not always dense in the ideal of C*-singular functions, preprint https://arxiv.org/abs/2510.01947 (2025).
• A. Buss and D. Martínez, Essential groupoid amenability and nuclearity of groupoid C*-algebras, preprint https://arxiv.org/pdf/2501.01775 (2025).
• D. Martínez and F. Vigolo, A rigidity framework for Roe-like algebras, preprint https://arxiv.org/abs/2403.13624 (2024).

Accepted

1. D. Martínez and F. Vigolo, Roe algebras of coarse spaces via coarse geometric modules, accepted for publication in JNCG (2025).
2. D. Martínez and F. Vigolo, C*-rigidity of bounded geometry metric spaces, Publ. Math. IHES (2025) https://doi.org/10.1007/s10240-025-00155-3.
3. Y. C. Chung, D. Martínez and N. Szakács, Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups, to appear in Groups, Geom. Dyn. (2025).
4. A. Buss and D. Martínez, Approximation properties of Fell bundles over inverse semigroups and non-Hausdorff groupoids, Adv. Math. 431 (2023) 109251 (pp. 54) https://doi.org/10.1016/j.aim.2023.109251.
5. D. Martínez, A note on the quasi-diagonality of inverse semigroup reduced C*-algebras, J. Oper. Th. 90 (2023) (pp. 17) https://doi.org/10.7900/jot.2021nov29.2424.
6. F. Lledó and D. Martínez, A note on commutation relations and finite dimensional approximations, Expo. Math. (2022) https://doi.org/10.1016/j.exmath.2022.08.004.
7. F. Lledó and D. Martínez, The uniform Roe algebra of an inverse semigroup, J. Math. Anal. Appl. 499 (2021) 124996 (pp. 28) https://doi.org/10.1016/j.jmaa.2021.124996
8. P. Ara, F. Lledó and D. Martínez, Amenability and paradoxicality in semigroups and C*-algebras, J. Funct. Anal. 279 (2020) 108530 (pp. 43) https://doi.org/10.1016/j.jfa.2020.108530
9. F. Lledó and D. Martínez, Notions of Infinity in Quantum Physics, In: Marmo G., Martín de Diego D., Muñoz Lecanda M. (eds) Classical and Quantum Physics. Springer Proceedings in Physics, vol 229. Springer, Cham (2019) (pp. 14) https://doi.org/10.1007/978-3-030-24748-5_14