3 papers
math.OA2026
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…
math.OA2026
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…
math.AT2005
Banach Algebras and Rational Homotopy Theory
Gregory Lupton, N. Christopher Phillips, Claude L. Schochet +1
Let be a unital commutative Banach algebra with maximal ideal space We determine the rational H-type of the group of invertible n by n matrices with coefficient…