Publications

(Entries on MathSciNet and zbMATH and arXiv)

1. H. Thiel. Distance to regular elements and polar decompositions in a C*-algebra. Math. Scand. (to appear)
   arXiv:2511.21391
2. F. Perera, H. Thiel, E. Vilalta. Extensions of pure C*-algebras. Trans. Amer. Math. Soc. (to appear)
   arXiv:2506.10529
3. 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
4. H. Thiel. Real rank of some multiplier algebras. Isr. J. Math. (to appear)
   arXiv: arXiv:2402.01022
5. H. Thiel. Lie ideals in properly infinite C*-algebras. Publ. Mat. 70 (2026), 525–548.
   DOI: 10.5565/PUBLMAT7022609 arXiv: arXiv:2412.16087
6. F. Perera, H. Thiel, E. Vilalta. Centrally pure C*-algebras. J. Funct. Anal. 291 (2026), Paper No. 111578, 21 pp.
   DOI: 10.1016/j.jfa.2026.111578 arXiv: arXiv:2512.17261
7. P. W. Ng, H. Thiel, E. Vilalta. The Global Glimm Property for C*-algebras of topological dimension zero. Bull. London Math. Soc. 58 (2026), Paper No. e70343, 7 pp.
   DOI: 10.1112/blms.70343 arXiv: arXiv:2507.16261
8. E. Gardella, H. Thiel. Weighted homomorphisms between C*-algebras. Doc. Math. 30 (2025), 587–610.
   DOI: 10.4171/dm/1008 arXiv: arXiv:2203.16702
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. H. Thiel. Diffuse traces and Haar unitaries. Amer. J. Math. 146 (2024), 1305-1337.
    DOI: 10.1353/ajm.2024.a937944 arXiv: arXiv:2009.06940
16. 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
17. 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
18. 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
19. H. Thiel, E. Vilalta. Nowhere scattered C*-algebras. J. Noncommut. Geom. 18 (2024), 231-263.
    DOI: 10.4171/JNCG/526 arXiv: arXiv:2112.09877
20. 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
21. 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
22. H. Thiel. The generator rank of subhomogeneous C*-algebras. Canad. J. Math. 75 (2023), 1314-1342.
    DOI: 10.4153/S0008414X22000268 arXiv: arXiv:2006.03624
23. 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
24. 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
25. 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
26. 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
27. 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
28. 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
29. 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
30. 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
31. 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
32. 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
33. 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
34. 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
35. 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
36. 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
37. 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
38. H. Thiel. Inductive limits of projective C*-algebras. J. Noncommut. Geom. 13 (2019), 1435-1462.
    DOI: 10.4171/jncg/350   arXiv: arXiv:1105.1979
39. H. Thiel. Semiprojectivity and semiinjectivity in different categories. Publ. Mat. Urug. 17 (2019), 263-274.
    Journal Website   arXiv: arXiv:1802.05037
40. 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
41. 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
42. 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
43. 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
44. 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
45. 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
46. 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
47. 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
48. 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
49. 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
50. 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
51. 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, M. Palmstrøm, H. Thiel. Topological full groups, invertible isometries, and automorphisms of groupoid algebras. arXiv:2511.14541
2. E. Gardella, K. Kitamura, H. Thiel. Prime and semiprime Lie ideals in C*-algebras. arXiv:2506.11819
3. E. Gardella, M. Palmstrøm, H. Thiel. Rigidity of pseudofunction algebras of ample groupoids. arXiv:2506.09563
4. S. Raum, H. Thiel, E. Vilalta. Strict comparison for twisted group C*-algebras. arXiv:2505.18569
5. R. Antoine, F. Perera, H. Thiel, E. Vilalta. Pure C*-algebras. arXiv:2406.11052
6. 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.