Publications

(Entries on MathSciNet and zbMATH and arXiv)

1. F. Perera, H. Thiel, E. Vilalta. Extensions of pure C*-algebras. Trans. Amer. Math. Soc. (to appear)
   arXiv:2506.10529
2. P. W. Ng, H. Thiel, E. Vilalta. The Global Glimm Property for C*-algebras of topological dimension zero. Bull. London Math. Soc. (to appear)
   arXiv:2507.16261
3. H. Thiel. Lie ideals in properly infinite C*-algebras. Publ. Mat. (to appear)
   arXiv: arXiv:2412.16087
4. E. Gardella, K. Kitamura, H. Thiel. Semiprime ideals in C*-algebras. J. Eur. Math. Soc. (JEMS) (to appear)
   DOI: 10.4171/JEMS/1699 arXiv: arXiv:2311.17480
5. H. Thiel. Real rank of some multiplier algebras. Isr. J. Math. (to appear)
   arXiv: arXiv:2402.01022
6. E. Gardella, H. Thiel. Weighted homomorphisms between C*-algebras. Doc. Math. 30 (2025), 587–610.
   DOI: 10.4171/dm/1008 arXiv: arXiv:2203.16702
7. M. Brešar, E. Gardella, H. Thiel. Products of commutators in matrix rings. Can. Math. Bull. 68 (2025), 512-529.
   DOI: 10.4153/S0008439524000523 arXiv: arXiv:2404.18116
8. E. Gardella, T.-K. Lee, H. Thiel. Fully noncentral Lie ideals and invariant additive subgroups in rings. J. London Math. Soc. (2) 111 (2025), Paper No. e70127, 22 pages.
   DOI: 10.1112/jlms.70127 arXiv: arXiv:2409.03362
9. A. Austad, H. Thiel. The ideal separation property for reduced group C*-algebras. J. Funct. Anal. 289 (2025), Article No. 110904, 32 pages.
   DOI: 10.1016/j.jfa.2025.110904 arXiv: arXiv:2408.14880
10. U. Enstad, H. Thiel, E. Vilalta. Criteria for the existence of Schwartz Gabor frames over rational lattices. Int. Math. Res. Not. IMRN 2025, Paper No. rnaf038, 12 pages.
    DOI: 10.1093/imrn/rnaf038 arXiv: arXiv:2408.03423
11. A. Asadi-Vasfi, H. Thiel, E. Vilalta. Ranks of soft operators in nowhere scattered C*-algebras. J. Inst. Math. Jussieu 24 (2025), 371-410.
    DOI: 10.1017/S1474748024000318 arXiv: arXiv:2310.00663
12. 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
13. H. Thiel. Diffuse traces and Haar unitaries. Amer. J. Math. 146 (2024), 1305-1337.
    DOI: 10.1353/ajm.2024.a937944 arXiv: arXiv:2009.06940
14. 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
15. 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
16. 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
17. H. Thiel, E. Vilalta. Nowhere scattered C*-algebras. J. Noncommut. Geom. 18 (2024), 231-263.
    DOI: 10.4171/JNCG/526 arXiv: arXiv:2112.09877
18. 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
19. 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
20. H. Thiel. The generator rank of subhomogeneous C*-algebras. Canad. J. Math. 75 (2023), 1314-1342.
    DOI: 10.4153/S0008414X22000268 arXiv: arXiv:2006.03624
21. 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
22. 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
23. 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
24. E. Gardella, H. Thiel. Isomorphisms of Algebras of Convolution Operators. Ann. Sci. Éc. Norm. Supér. (4) 55 (2022), 1433-1471.
    DOI: 10.24033/asens.2520 arXiv: arXiv:1809.01585
25. 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
26. 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
27. 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
28. 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
29. 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
30. 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
31. 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
32. 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
33. 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
34. 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
35. 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
36. H. Thiel. Inductive limits of projective C*-algebras. J. Noncommut. Geom. 13 (2019), 1435-1462.
    DOI: 10.4171/jncg/350   arXiv: arXiv:1105.1979
37. H. Thiel. Semiprojectivity and semiinjectivity in different categories. Publ. Mat. Urug. 17 (2019), 263-274.
    Journal Website   arXiv: arXiv:1802.05037
38. 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
39. 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
40. 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
41. 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
42. 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
43. 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
44. 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
45. 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
46. 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
47. 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
48. 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
49. 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. F. Perera, H. Thiel, E. Vilalta. Centrally pure C*-algebras. arXiv:2512.17261
2. H. Thiel. Distance to regular elements and polar decompositions in a C*-algebra. arXiv:2511.21391
3. E. Gardella, M. Palmstrøm, H. Thiel. Topological full groups, invertible isometries, and automorphisms of groupoid algebras. arXiv:2511.14541
4. E. Gardella, K. Kitamura, H. Thiel. Prime and semiprime Lie ideals in C*-algebras. arXiv:2506.11819
5. E. Gardella, M. Palmstrøm, H. Thiel. Rigidity of pseudofunction algebras of ample groupoids. arXiv:2506.09563
6. S. Raum, H. Thiel, E. Vilalta. Strict comparison for twisted group C*-algebras. arXiv:2505.18569
7. R. Antoine, F. Perera, H. Thiel, E. Vilalta. Pure C*-algebras. arXiv:2406.11052
8. 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.