Publications

(Entries on MathSciNet and zbMATH and arXiv)

1. E. Gardella, H. Thiel. Rings and C*-algebras generated by commutators. J. Algebra 662 (2025), 214-241.
   DOI: 10.1016/j.jalgebra.2024.08.020 arXiv: arXiv:2301.05958
2. H. Thiel. Real rank of some multiplier algebras. Isr. J. Math. (to appear)
   arXiv: arXiv:2402.01022
3. M. Brešar, E. Gardella, H. Thiel. Products of commutators in matrix rings. Can. Math. Bull. (to appear)
   arXiv: arXiv:2404.18116
4. A. Asadi-Vasfi, H. Thiel, E. Vilalta. Ranks of soft operators in nowhere scattered C*-algebras. J. Inst. Math. Jussieu (to appear)
   arXiv: arXiv:2310.00663
5. Y. Choi, E. Gardella, H. Thiel. Rigidity results for Lp-operator algebras and applications. Adv. Math. 452 (2024), Article No. 109747, 47 pages.
   DOI: 10.1016/j.aim.2024.109747 arXiv: arXiv:1909.03612
6. H. Thiel. Diffuse traces and Haar unitaries. Amer. J. Math. (to appear)
   arXiv: arXiv:2009.06940
7. E. Gardella, H. Thiel. Prime ideals in C*-algebras and applications to Lie theory. Proc. Amer. Math. Soc. 152 (2024), 3647-3656.
   DOI: 10.1090/proc/16808 arXiv: arXiv2306.16510
8. H. Thiel. Real rank of extensions of C*-algebras. Studia Math. 276 (2024), 131-155.
   DOI: 10.4064/sm231119-19-4 arXiv: arXiv:2311.03403
9. H. Thiel, E. Vilalta. Nowhere scattered C*-algebras. J. Noncommut. Geom. 18 (2024), 231-263.
   DOI: 10.4171/JNCG/526 arXiv: arXiv:2112.09877
10. R. Antoine, F. Perera, L. Robert, H. Thiel. Traces on ultrapowers of C*-algebras. J. Funct. Anal. 286 (2024), Article No. 110341, 65 pages.
    DOI: 10.1016/j.jfa.2024.110341 arXiv: arXiv:2303.01929
11. H. Thiel, E. Vilalta. Soft operators in C*-algebras. J. Math. Anal. Appl. 536 (2024), Article No. 128167, 35 pages.
    DOI: 10.1016/j.jmaa.2024.128167 arXiv: arXiv:2304.11644
12. H. Thiel. The generator rank of subhomogeneous C*-algebras. Canad. J. Math. 75 (2023), 1314-1342.
    DOI: 10.4153/S0008414X22000268 arXiv: arXiv:2006.03624
13. H. Thiel, E. Vilalta. The Global Glimm Property. Trans. Amer. Math. Soc. 376 (2023), 4713-4744.
    DOI: 10.1090/tran/8880 arXiv: arXiv:2204.13059
14. E. Gardella, H. Thiel. Zero-product balanced algebras. Lin. Alg. Appl. 670 (2023), 121-153.
    DOI: 10.1016/j.laa.2023.04.015 arXiv: arXiv:2210.07891
15. H. Thiel. Generators in Z-stable C*-algebras of real rank zero. J. Noncommut. Geom. 16 (2022), 1259-1281.
    DOI: 10.4171/JNCG/454 arXiv: arXiv:2006.08404
16. E. Gardella, H. Thiel. Isomorphisms of Algebras of Convolution Operators. Ann. Sci. Éc. Norm. Supér. (4) 55 (2022), 1433-1471.
    arXiv: arXiv:1809.01585
17. R. Antoine, F. Perera, L. Robert, H. Thiel. C*-algebras of stable rank one and their Cuntz semigroups. Duke Math. J. 171 (2022), 33-99.
    DOI: 10.1215/00127094-2021-0009 arXiv: arXiv:1809.03984
18. H. Thiel, E. Vilalta. Covering dimension of Cuntz semigroups. Adv. Math. 394 (2022), Article No. 08016, 44 pages.
    DOI: 10.1016/j.aim.2021.108016 arXiv: arXiv:2101.04522
19. H. Thiel, E. Vilalta. Covering dimension of Cuntz semigroups II. Int. J. Math. 32 (2021), Article No. 2150100, 27 pages.
    DOI: 10.1142/S0129167X21501007 arXiv: arXiv:2103.13062
20. R. Antoine, F. Perera, L. Robert, H. Thiel. Edwards‘ condition for quasitraces on C*-algebras. Proc. Roy. Soc. Edinburgh Sect. A 151 (2021), 525-547.
    DOI: 10.1017/prm.2020.26   arXiv: arXiv:1909.12787
21. H. Thiel. The generator rank of C*-algebras. J. Funct. Anal. 280 (2021), Article No. 108874, 34 pages.
    DOI: 10.1016/j.jfa.2020.108874   arXiv: arXiv:1210.6608
22. R. Antoine, F. Perera, H. Thiel. Cuntz semigroups of ultraproduct C*-algebras. J. Lond. Math. Soc. 102 (2020), 994-1029.
    DOI: 10.1112/jlms.12343   arXiv: arXiv:1905.03208
23. R. Antoine, F. Perera, H. Thiel. Abstract bivariant Cuntz semigroups. Int. Math. Res. Not. IMRN 2020, 5342-5386.
    DOI: 10.1093/imrn/rny143   arXiv: arXiv:1702.01588
24. E. Gardella, H. Thiel. Preduals and complementation of spaces of bounded linear operators. Int. J. Math. 31 (2020), Article No. 2050053, 26 pages.
    DOI: 10.1142/S0129167X20500536  arXiv: arXiv:1609.05326
25. H. Thiel. Ranks of operators in simple C*-algebras with stable rank one. Commun. Math. Phys. 377 (2020), 37-76.
    DOI: 10.1007/s00220-019-03491-8   arXiv: arXiv:1711.04721
26. E. Gardella, H. Thiel. Extending representations of Banach algebras to their biduals. Math. Z. 294 (2020), 1341-1354.
    DOI: 10.1007/s00209-019-02315-8   arXiv: arXiv:1703.00882
27. R. Antoine, F. Perera, H. Thiel. Abstract bivariant Cuntz semigroups. II. Forum Math. 32 (2020), 45-62.
    DOI: 10.1515/forum-2018-0285   arXiv: arXiv:1811.08689
28. H. Thiel. Inductive limits of projective C*-algebras. J. Noncommut. Geom. 13 (2019), 1435-1462.
    DOI: 10.4171/jncg/350   arXiv: arXiv:1105.1979
29. H. Thiel. Semiprojectivity and semiinjectivity in different categories. Publ. Mat. Urug. 17 (2019), 263-274.
    Journal Website   arXiv: arXiv:1802.05037
30. H. Thiel. Inductive limits of semiprojective C*-algebras. Adv. Math. 347 (2019), 597–618.
    DOI: 10.1016/j.aim.2019.02.030   arXiv: arXiv:1804.04908
31. E. Gardella, H. Thiel. Representations of p-convolution algebras on Lq-spaces. Trans. Amer. Math. Soc. 371 (2019), 2207-2236.
    DOI:10.1090/tran/7489   arXiv: arXiv:1609.08612
32. H. Thiel. Preduals for spaces of operators involving Hilbert spaces and trace-class operators. J. Math. Anal. Appl. 464 (2018), 1158-1166.
    DOI: 10.1016/j.jmaa.2018.04.051   arXiv: arXiv:1703.01169
33. R. Antoine, F. Perera, H. Thiel. Tensor products and regularity properties of Cuntz semigroups. Mem. Amer. Math. Soc. 251 (2018), no. 1199; 199 pages. DOI: 10.1090/memo/1199   arXiv: arXiv:1410.0483
34. E. Gardella, H. Thiel. Quotients of Banach algebras acting on Lp-spaces. Adv. Math. 296 (2016), 85-92.
    DOI: 10.1016/j.aim.2016.03.040   arXiv: arXiv:1412.3985
35. E. Gardella, H. Thiel. Group algebras acting on Lp-spaces. J. Fourier Anal. Appl. 21 (2015), 1310-1343.
    DOI: 10.1007/s00041-015-9406-1   arXiv: arXiv:1408.6136
36. E. Gardella, H. Thiel. Banach algebras generated by an invertible isometry of an Lp-space. J. Funct. Anal. 269 (2015), 1796-1839.
    DOI: 10.1016/j.jfa.2015.05.004   arXiv: arXiv:1405.5589
37. N. C. Phillips, A. P. W. Sørensen, H. Thiel. Semiprojectivity with and without a group action. J. Funct. Anal. 268 (2015), 929-973.
    DOI: 10.1016/j.jfa.2014.11.005   arXiv: arXiv:1403.3440
38. H. Thiel, W. Winter. The generator problem for Z-stable C*-algebras. Trans. Amer. Math. Soc. 366 (2014), 2327-2343.
    DOI: 10.1090/S0002-9947-2014-06013-3 &bnsp; arXiv: arXiv:1201.3879
39. H. Thiel. The topological dimension of type I C*-algebras. Operator Algebra and Dynamics. Springer Proceedings in Mathematics & Statistics Volume 58 (2013), 305-328.
    DOI: 10.1007/978-3-642-39459-1_16   arXiv: arXiv:1210.4314
40. A. P.W. Sørensen, H. Thiel. A characterization of semiprojectivity for commutative C*-algebras. Proc. Lond. Math. Soc. (3) 105 (2012), 1021-1046.
    DOI: 10.1112/plms/pdr051   arXiv: arXiv:1101.1856
41. E. Ortega, M. Rørdam, H. Thiel. The Cuntz semigroup and comparison of open projections. J. Funct. Anal. 260 (2011), 3474-3493.
    DOI: 10.1016/j.jfa.2011.02.017   arXiv: arXiv:1008.3497

Preprints

1. E. Gardella, T.-K. Lee, H. Thiel. Fully noncentral Lie ideals and invariant additive subgroups in rings. arXiv:2409.03362
2. A. Austad, H. Thiel. The ideal separation property for reduced group C*-algebras. arXiv:2408.14880
3. U. Enstad, H. Thiel, E. Vilalta. Criteria for the existence of Schwartz Gabor frames over rational lattices. arXiv:2408.03423
4. R. Antoine, F. Perera, H. Thiel, E. Vilalta. Pure C*-algebras. arXiv:2406.11052
5. E. Gardella, K. Kitamura, H. Thiel. Semiprime ideals in C*-algebras. arXiv:2311.17480
6. E. Gardella, H. Thiel. Weighted homomorphisms between C*-algebras. arXiv:2203.16702
7. E. Gardella, H. Thiel. Functoriality of group algebras acting on Lp-spaces. arXiv:1408.6137

Other Writing

1. C*-algebras of stable rank one and their Cuntz semigroups. Oberwolfach Extended Abstract for Conference „C*-Algebras“, 11. August – 17. August 2019.
2. Die Spur auf einem endlichen Faktor. Notizen zum Beweis der Existenz und Eindeutigkeit der Spur auf einem endlichen Faktor; Uni Münster, Sommersemester 2018.
3. The Cuntz semigroup. Lecture notes from a course at the University of Münster, winter semester 2016-17.
4. The generator rank for C-algebras. Oberwolfach Extended Abstract for Conference „C*-Algebras, Dynamics, and Classification“, 28. October – 3. November 2012.
5. A Survey on non-commutative Dimension theories. Notes from October 2011.
6. The connection between shape theory and E-theory. Notes for a talk given at the University of Copenhagen, 19. January 2011.
7. The Cuntz semigroup and its relation to classification. Notes from a course by Andrew Toms at the Master Class „Classification of C*-algebras“ in Copenhagen, November 2009.
8. One-dimensional C*-algebras and their K-theory. My diploma thesis at the university of Münster, August 2009, supervisor: Wilhelm Winter.
9. An Introduction to Hochschild and Cyclic homology. Term paper at UC Berkeley, Spring 2006.
10. The QR algorithm (and other methods to compute the eigenvalues of complex matrices). Term paper at University of Potsdam, 2005.