Publications

(Entries on MathSciNet and zbMATH and arXiv)

1. 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
2. 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
3. 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
4. E. Gardella, H. Thiel. Isomorphisms of Algebras of Convolution Operators. Ann. Sci. École Norm. Sup. (to appear)
   arXiv: arXiv:1809.01585
5. H. Thiel. Generators in Z-stable C*-algebras of real rank zero. J. Noncommut. Geom. (to appear)
   arXiv: arXiv:2006.08404
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. H. Thiel. Inductive limits of projective C*-algebras. J. Noncommut. Geom. 13 (2019), 1435-1462.
    DOI: 10.4171/jncg/350   arXiv: arXiv:1105.1979
15. H. Thiel. Semiprojectivity and semiinjectivity in different categories. Publ. Mat. Urug. 17 (2019), 263-274.
    Journal Website   arXiv: arXiv:1802.05037
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. 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. H. Thiel, E. Vilalta. The Global Glimm Property. arXiv:2204.13059
2. E. Gardella, H. Thiel. Weighted homomorphisms between C*-algebras. arXiv:2203.16702
3. H. Thiel, E. Vilalta. Nowhere scattered C*-algebras. arXiv:2112.09877
4. H. Thiel. Diffuse traces and Haar unitaries. arXiv:2009.06940
5. H. Thiel. The generator rank of subhomogeneous C*-algebras. arXiv:2006.03624
6. Y. Choi, E. Gardella, H. Thiel. Rigidity results for Lp-operator algebras and applications. arXiv:1909.03612
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.