10 citations · 35 across the 12 of their papers we have counts for
Showing 2019 · math.OAShow all
3 papers · 2 filters
math.OA2019★ 3 cited
Partition functions as C*-dynamical invariants and actions of congruence monoids
Chris Bruce, Marcelo Laca, Takuya Takeishi
We study the phase transition of KMS states for the C*-algebras of -semigroups of algebraic integers in which the multiplicative part is restricted to a congruence monoid, as…
math.OA2019★ 7 cited
On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids
Chris Bruce, Xin Li
We study semigroup C*-algebras of semigroups associated with number fields and initial data arising naturally from class field theory. Using K-theoretic invariants, we investigate…
math.OA2019★ 4 cited
Phase transitions on C*-algebras from actions of congruence monoids on rings of algebraic integers
Chris Bruce
We compute the KMS (equilibrium) states for the canonical time evolution on C*-algebras from actions of congruence monoids on rings of algebraic integers. We show that for each $β\…