Covering dimension of Cuntz semigroups II

References

• 1. R. Antoine, F. Perera, L. Robert and H. Thiel, $C^{\ast }$-algebras of stable rank one and their Cuntz semigroups, Duke Math. J., in press, arXiv:1809.03984 [math.OA]. Google Scholar
• 2. R. Antoine, F. Perera, L. Robert and H. Thiel , Edwards’ condition for quasitraces on $C^{\ast }$-algebras, Proc. Roy. Soc. Edinburgh Sect. A 151 (2021) 525–547. Crossref, ISI, Google Scholar
• 3. R. Antoine, F. Perera and L. Santiago , Pullbacks, $C(X)$-algebras, and their Cuntz semigroup, J. Funct. Anal. 260 (2011) 2844–2880. Crossref, ISI, Google Scholar
• 4. R. Antoine, F. Perera and H. Thiel , Tensor products and regularity properties of Cuntz semigroups, Mem. Amer. Math. Soc. 251 (2018) viii+191. ISI, Google Scholar
• 5. R. Antoine, F. Perera and H. Thiel , Abstract bivariant Cuntz semigroups, Int. Math. Res. Not. IMRN (2020) 5342–5386. Crossref, ISI, Google Scholar
• 6. R. Antoine, F. Perera and H. Thiel , Abstract bivariant Cuntz semigroups II, Forum Math. 32 (2020) 45–62. Crossref, ISI, Google Scholar
• 7. R. Antoine, F. Perera and H. Thiel , Cuntz semigroups of ultraproduct $C^{\ast }$-algebras, J. Lond. Math. Soc. 102(2) (2020) 994–1029. Crossref, Google Scholar
• 8. P. Ara, F. Perera and A. S. Toms , $K$-theory for operator algebras. Classification of $C^{\ast }$-algebras, in Aspects of Operator Algebras and Applications, Contemporary Mathematics, Vol. 534 (American Mathematical Society, 2011), pp. 1–71. Crossref, Google Scholar
• 9. F. Borceux , Handbook of Categorical Algebra: Volume 1 Basic Category Theory, Encyclopedia of Mathematics and its Applications, Vol. 50 (Cambridge University Press, Cambridge, 1994). Google Scholar
• 10. K. T. Coward, G. A. Elliott and C. Ivanescu , The Cuntz semigroup as an invariant for $C^{\ast }$-algebras, J. Reine Angew. Math. 623 (2008) 161–193. Crossref, ISI, Google Scholar
• 11. J. Cuntz , Dimension functions on simple $C^{\ast }$-algebras, Math. Ann. 233 (1978) 145–153. Crossref, ISI, Google Scholar
• 12. I. Farah, B. Hart, M. Lupini, L. Robert, A. Tikuisis, A. Vignati and W. Winter , Model theory of $C^{\ast }$-algebras, Mem. Amer. Math. Soc. 271 (2021) viii+127. Google Scholar
• 13. G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove and D. S. Scott , Continuous Lattices and Domains, Encyclopedia of Mathematics and its Applications, Vol. 93 (Cambridge University Press, Cambridge, 2003). Crossref, Google Scholar
• 14. L. Robert , Classification of inductive limits of 1-dimensional NCCW complexes, Adv. Math. 231 (2012) 2802–2836. Crossref, ISI, Google Scholar
• 15. L. Robert , The cone of functionals on the Cuntz semigroup, Math. Scand. 113 (2013) 161–186. Crossref, Google Scholar
• 16. M. Rørdam and W. Winter , The Jiang–Su algebra revisited, J. Reine Angew. Math. 642 (2010) 129–155. Crossref, ISI, Google Scholar
• 17. H. Thiel , The topological dimension of type I $C^{\ast }$-algebras, in Springer Proc. Mathematics and Statistics Operator Algebra and Dynamics, Vol. 58 (Springer, Heidelberg, 2013), pp. 305–328. Crossref, Google Scholar
• 18. H. Thiel, The generator rank of subhomogeneous $C^{\ast }$-algebras, preprint (2020), arXiv:2006.03624 [math.OA]. Google Scholar
• 19. H. Thiel , Ranks of operators in simple $C^{\ast }$-algebras with stable rank one, Comm. Math. Phys. 377 (2020) 37–76. Crossref, ISI, Google Scholar
• 20. H. Thiel and E. Vilalta, Covering dimension of Cuntz semigroups, Adv. Math., in press, arXiv:2101.04522 [math.OA]. Google Scholar
• 21. A. S. Toms , On the classification problem for nuclear $C^{\ast }$-algebras, Ann. Math. 167(2) (2008) 1029–1044. Crossref, Google Scholar