The C*-algebra generated by two projections.
The C*-Algebra of a Singular Elliptic Problem on a Noncompact Riemannian Manifold.
The correspondence associated to an inner completely positive map.
The dual of the multiplier algebra of Pedersen's ideal.
The Dunford-Pettis property in C*-algebras
The elements of bounded trace in the C*-algebra of a nilpotent Lie group.
The Exponential Rank of Inductive Limit C*-Algebras.
The Facial Q-Topology for Compact Convex Sets.
The General Stone-Weierstrass Problem and Extremal Completely Positive Maps.
The graph traces of finite graphs and applications to tracial states of -algebras.
The group of invertible elements in a Banach algebra
The Hilbert projective metric and an equation in a -algebra
The ideal structure of the Haagerup tensor product of C*-algebras.
The isolated ideal of a correspondence associated with a topological quiver.
The joint approximate spectrum of a finite system of elements of a C*-algebra
The Lie structure of C* and Poisson algebras
The Linear Groups of Injective Factors and of Matroid C*Algebras are Contractible to a Point.
The maximum unitary rank of some C*-algebras.
The minimal dense two-sided ideal of a C*-algebra with continous trace.
The Order on Projections in C*-Algebras of Real Rank Zero
We prove a number of fundamental facts about the canonical order on projections in C*-algebras of real rank zero. Specifically, we show that this order is separative and that arbitrary countable collections have equivalent (in terms of their lower bounds) decreasing sequences. Under the further assumption that the order is countably downwards closed, we show how to characterize greatest lower bounds of finite collections of projections, and their existence, using the norm and spectrum of simple...