40 citations · 183 across the 41 of their papers we have counts for
6 papers · 2 filters
On K-theoretic invariants of semigroup C*-algebras attached to number fields
Xin Li
We show that semigroup C*-algebras attached to ax+b-semigroups over rings of integers determine number fields up to arithmetic equivalence, under the assumption that the number fie…
Erratum to "C*-algebras associated with integral domains and crossed products by actions on adele spaces" by J. Cuntz and X. Li
Joachim Cuntz, Xin Li
We correct the K-theory computation for ring C*-algebras associated with rings of integers in number fields.
On the K-theory of crossed products by automorphic semigroup actions
Joachim Cuntz, Siegfried Echterhoff, Xin Li
Let P be a semigroup that admits an embedding into a group G. Assume that the embedding satisfies a certain Toeplitz condition and that the Baum-Connes conjecture holds for G. We p…
Nuclearity of semigroup C*-algebras and the connection to amenability
Xin Li
We study C*-algebras associated with subsemigroups of groups. For a large class of such semigroups including positive cones in quasi-lattice ordered groups and left Ore semigroups,…
On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup
Joachim Cuntz, Siegfried Echterhoff, Xin Li
We compute the K-theory of C*-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the K-theo…
K-theory for ring C*-algebras - the case of number fields with higher roots of unity
Xin Li, Wolfgang Lück
We compute K-theory for ring C*-algebras in the case of higher roots of unity and thereby completely determine the K-theory for ring C*-algebras attached to rings of integers in ar…