Research Interests
My investigation is related to algebraic aspects of Operator Algebras, with connections to Ring Theory. More particularly, I am interested in the classification of C*-algebras using tools such as the Cuntz semigroup and K-Theory…
Publications
- L. Cantier, A unitary Cuntz semigroup for C*-algebras of stable rank one. J. Funct. Anal. 281, (2021), no. 9, 109175.
- L. Cantier, Unitary Cuntz semigroups of ideals and quotients. Münster J. of Math. 14, (2021), pp. 585-606.
- L. Cantier, Uniformly based Cuntz semigroups and approximate intertwinings. Int. J. Math. 33, (2022), no. 09, 2250062.
- L. Cantier, The unitary Cuntz semigroup on the classification of non simple C*-algebras. J. Math. Anal. Appl. 522, (2023), no. 2, 127003.
Preprints
On going
- Classification of unitary elements of a C*-algebra. Joint work.