Publications

(Entries on MathSciNet and zbMATH and arXiv)

  1. H. Thiel, E. Vilalta. The Global Glimm Property. Trans. Amer. Math. Soc. (to appear)
    arXiv: arXiv:2204.13059
  2. H. Thiel, E. Vilalta. Nowhere scattered C*-algebras. J. Noncommut. Geom. (to appear)
    arXiv: arXiv:2112.09877
  3. H. Thiel. Diffuse traces and Haar unitaries. Amer. J. Math. (to appear)
    arXiv: arXiv:2009.06940
  4. H. Thiel. The generator rank of subhomogeneous C*-algebras. Canad. J. Math. (to appear)
    DOI: 10.4153/S0008414X22000268 arXiv: arXiv:2006.03624
  5. H. Thiel. Generators in Z-stable C*-algebras of real rank zero. J. Noncommut. Geom. (to appear)
    DOI: 10.4171/JNCG/454 arXiv: arXiv:2006.08404
  6. E. Gardella, H. Thiel. Isomorphisms of Algebras of Convolution Operators. Ann. Sci. Éc. Norm. Supér. (4) 55 (2022), 1433-1471.
    arXiv: arXiv:1809.01585
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. H. Thiel. Inductive limits of projective C*-algebras. J. Noncommut. Geom. 13 (2019), 1435-1462.
    DOI: 10.4171/jncg/350   arXiv: arXiv:1105.1979
  19. H. Thiel. Semiprojectivity and semiinjectivity in different categories. Publ. Mat. Urug. 17 (2019), 263-274.
    Journal Website   arXiv: arXiv:1802.05037
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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, H. Thiel. Rings and C*-algebras generated by commutators. arXiv:2301.05958
  2. E. Gardella, H. Thiel. Zero-product balanced algebras. arXiv:2210.07891
  3. E. Gardella, H. Thiel. Weighted homomorphisms between C*-algebras. arXiv:2203.16702
  4. Y. Choi, E. Gardella, H. Thiel. Rigidity results for Lp-operator algebras and applications. arXiv:1909.03612
  5. 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.