Publications

1. I. Kulp, C. Ochanine, L. Richard, L. Robert, S. Whitman, Decreasing paths of polygons (2024). arXiv
2. L. Robert, Selfless C*-algebras (2023). arXiv
3. L. Fogang Takoutsing, L. Robert, Distinguishing C*-algebras by their unitary groups (2023). arXiv
4. R. Antoine, and F. Perera, L. Robert, H. Thiel, Traces on ultrapowers of C*-algebras,
   J. Funct. Anal. 286 (2024), Article No. 110341, 65 pages. arXiv
5. A. Chand, L. Robert, Simplicity, bounded normal generation, and automatic continuity of groups of unitaries,
   Advances in Mathematics, 415 (2023), Paper No. 108894, 52 pp. arXiv
6. M. Moodie, L. Robert, Cones of traces arising from AF C*-algebras,
   Documenta Mathematica, 28 (2023), no. 6, pp. 1279–1321. arXiv
7. R. Archbold, I. Gogic, L. Robert, Local variants of the Dixmier property and weak centrality for C*-algebras,
   International Mathematics Research Notices, Volume 2023, Issue 2, 2023, Pages 1483–1513. arXiv
8. L. Richard, F. Riepl, L. Robert, G. Turcu, L. Walls Building homotheties through pinches,
   Linear and Multilinear Algebra, 70 (2022), no. 22, 7469--7483. journal, pdf
9. L. Robert, C*-algebras where every element is a limit of products of positive elements,
   Canadian Mathematical Bulletin, Volume 65, Issue 3, 2022 , pp. 628 - 632. arXiv
10. R. Antoine, F. Perera, L. Robert, H. Thiel, C*-algebras of stable rank one and their Cuntz semigroups,
    Duke Math. J., 171, (2022) 1, 33-99. arXiv
11. A. Chand, L. Robert, A. Sutradhar, Simultaneous averaging to zero by unitary mixing operators,
    Proc. Amer. Math. Soc. 149 (2021), 5169-5177. arXiv
12. R. Antoine, F. Perera, L. Robert, H. Thiel, Edwards' condition for quasitraces on C*-algebras,
    Proc. Roy. Soc. Edinburgh Sect. A: Mathematics, Volume 151 , Issue 2 (2021), pp. 525 - 547. arXiv
13. L. Robert, L. Santiago, A revised augmented Cuntz semigroup,
    Math. Scand. Vol. 127, No. 1 (2021), 131–160. arXiv
14. I. Farah, B. Hart, M. Lupini, L. Robert, A. Tikuisis, A. Vignati, W. Winter, Model Theory of C*-algebras,
    Mem. Amer. Math. Soc. 271 (2021), no. 1324, viii+127 pp. arXiv
15. L. Robert, Normal subgroups of invertibles and of unitaries in a C*-algebra,
    J. Reine Angew. Math. 756 (2019), 285--319. arXiv
16. R. Archbold, L. Robert, A. Tikuisis, Maximally unitarily mixed states on a C*-algebra,
    J. Operator Theory, 80:1 (2018), 187–211. arXiv
17. P. W. Ng, L. Robert, P. Skoufranis, Majorization in C*-algebras.
    Trans. of the Amer. Math. Soc., Volume 370, Number 8 (2018), Pages 5725–5759. arXiv
18. R. Archbold, L. Robert, A. Tikuisis, The Dixmier property and tracial states for C*-algebras,
    J. Funct. Anal., 273 (2017), no. 8, 2655--2718. arXiv
19. P. W. Ng, L. Robert, The kernel of the determinant map on pure C*-algebras,
    Houston J. Math. Vol. 43, No. 1 (2017) 139-168. arXiv
20. L. Robert, A. Tikuisis, Nuclear dimension and Z-stability of non-simple C*-algebras.
    Trans. of the Amer. Math. Soc., 369 (2017) 4631-4670. arXiv
21. L. Robert, On the Lie ideals of C*-algebras,
    J. Operator Theory 75 (2016), no. 2, 387--408. arXiv
22. P. W. Ng, L. Robert, Sums of commutators in pure C*-algebras,
    Münster J. of Math. 9 (2016) 121-154. arXiv
23. L. Robert, Remarks on Z-stable projectionless C*-algebras,
    Glasgow Math. J. 58 (2016) 273-277. arXiv
24. L. Robert, Nuclear dimension and sums of commutators.
    Indiana Univ. Math. J. 64 (2015) 559 - 576. arXiv
25. L. Robert, Similarity of perturbations of the shift and a different product of rational functions.
    Oper. Matrices 8 (2014), no. 1, 89--98. arXiv
26. L. Robert, The Cuntz semigroup of some spaces of dimension at most two.
    C. R. Math. Acad. Sci. Soc. R. Can., 35 (2013), no. 1, 22--32. arXiv
27. L. Robert, M. Rørdam, Divisibility properties for C*-algebras,
    Proc. London Math. Soc. (2013) 106 (6): 1330-1370. arXiv
28. L. Robert, The cone of functionals on the Cuntz semigroup,
    Math. Scand. 113 (2013), no. 2, 161--186. arXiv
29. B. Blackadar, L. Robert, A. Tikuisis, A. Toms, and W. Winter, An algebraic approach to the radius of comparison,
    Trans. of the Amer. Math. Soc., 364 (2012), no. 7, 3657--3674. arXiv
30. L. Robert, Classification of inductive limits of 1-dimensional NCCW complexes,
    Adv. in Math., 231 (2012), no. 5, 2802--2836. arXiv
31. L. Robert, Nuclear dimension and n-comparison,
    Münster J. of Math. 4 (2011), 65--72. arXiv
32. A. Tikusis, L. Robert, Hilbert C*-modules over commutative C*-algebras,
    Proc. Lond. Math. Soc., 102 (2011), 229--256. arXiv
33. G. A. Elliott, L. Robert, L. Santiago, The cone of lower semicontinuous traces on a C*-algebra,
    Amer. J. Math., Vol 133 (2011), no 4, 969--1005. arXiv
34. L. Robert, L. Santiago, Classification of C*-homomorphisms from C_0(0,1] to a C*-algebra,
    J. Funct. Anal. 258 (2010), no. 3, 869--892. arXiv
35. A. Ciuperca, L. Robert, L. Santiago, Cuntz semigroup of ideals and quotients and a generalized Kasparov Stabilization Theorem,
    J. Operator Theory Vol 64 (2010), no. 1, 155--169. arXiv
36. L. Robert, On the comparison of positive elements of a C*-algebra by lower semicontinuous traces,
    Indiana Univ. Math. J., Vo. 58 (2009). arXiv
37. E. R. Pujals, L. Robert, M. Shub, Expanding maps of the circle revisited: Positive Lyapunov exponents in a rich family,
    Ergodic Theory Dynam. Systems, Vol. 26 (2006), 1931--1937. pdf
38. L. Robert, Similarity of perturbations of Hessenberg matrices,
    J. Operator Theory, Vol. 54 (2005), n. 1: 125--136. pdf
39. J. Hernandez, L. Robert, Figures of constant width on a chessboard,
    Amer. Math. Monthly, 112 (2005), no. 1, 42--50. pdf
40. L. Robert, L. Santiago, On a class of Sobolev scalar products in the polynomials,
    J. Approx. Theory , 125(2): 169-189 (2003). pdf
41. L. Robert, L. Santiago, The Finite sections method for Hessenberg matrices,
    J. Approx. Theory , 123(1): 68-88 (2003). pdf

Apples and oranges

1. L. Robert, L. Santiago, Infinite dimensional continued fractions (2003). pdf
2. Figures of constant width on a chessboard