29 citations · 144 across the 33 of their papers we have counts for
38 papers
Obstructions to homomorphisms between homogeneous C*-algebras
Ilan Hirshberg, N. Christopher Phillips
We develop a method to find new obstructions to the existence of homomorphisms between homogeneous C*-algebras with prescribed behavior on K-theory. As an application, we give a co…
An isomorphism theorem for infinite reduced free products
Ilan Hirshberg, N. Christopher Phillips
Let C_1, C_2, ... be a sequence of separable unital C*-algebras, equipped with faithful tracial states and satisfying a mild condition. Let A be a unital direct limit of one dimens…
The radius of comparison for actions of Z^d on simple AH algebras
M. Ali Asadi-Vasfi, Ilan Hirshberg, Apurva Seth
Given 0 \leq r' \leq r \leq \infty, and d \in N, we construct a simple unital AH algebra A with stable rank one, and a pointwise outer action α: Z^d \to Aut(A), such that rc(A)=r a…
Simple AH algebras with the same Elliott invariant and radius of comparison
Ilan Hirshberg, N. Christopher Phillips
We construct an uncountable family of pairwise nonisomorphic AH algebras with the same Elliott invariant and same radius of comparison. They can be distinguished by a local radius…
Powers averaging for actions on -algebras
Tattwamasi Amrutam, Ilan Hirshberg, Apurva Seth
Given a unital -algebra discrete group and an action which leaves invariant and such that is simple, and a -co…
A dichotomy for central sequence algebras
Ilijas Farah, Ilan Hirshberg
We prove that the central sequence algebra of a separable C*-algebra is either subhomogeneous or non-exact, confirming a conjecture of Enders and Shulman. We also prove analogous d…