Maximal ideals of reduced group C*-algebras and Thompson's groups
Given a conditional expectation P from a C*-algebra B onto a C*-subalgebra A, we observe that induction of ideals via P, together with a map which we call co-induction, forms a Galois connection between the lattices of ideals of A and B. Using properties of this Galois connection, we show that, given a discrete group G and a stabilizer subgroup Gx for the action of G on its Furstenberg boundary, i
