39 citations · 104 across the 31 of their papers we have counts for
6 papers · 2 filters
Towards a theory of classification
George A. Elliott
The well-known difficulties arising in a classification which is not set-theoretically trivial---involving what is sometimes called a non-smooth quotient---have been overcome in a…
A remark on invariants for C*-algebras of stable rank one
Alin Ciuperca, George A. Elliott
It is shown that, for a C*-algebra of stable rank one (i.e., in which the invertible elements are dense), two well-known isomorphism invariants, the Cuntz semigroup and the Thomsen…
The Cuntz semigroup as an invariant for C*-algebras
Kristofer T. Coward, George A. Elliott, Cristian Ivanescu
A category is described to which the Cuntz semigroup belongs and as a functor into which it preserves inductive limits.
The classification ofseparable simple C*-algebras which are inductive limits of continuous-trace C*-algebraswith spectrum homeomorphic to the closed interval [0,1]
George A. Elliott, Cristian Ivanescu
A classification is given of certain separable nuclear C*-algebras not necessarily of real rank zero, namely, the class of separable simple C*-algebras which are inductive limits o…
Regularity properties in the classification program for separable amenable C*-algebras
George A. Elliott, Andrew S. Toms
We report on recent progress in the program to classify separable amenable C*-algebras. Our emphasis is on the newly apparent role of regularity properties such as finite decomposi…
A class of simple C*-algebras with stable rank one
George A. Elliott, Toan M. Ho, Andrew S. Toms
We study the limits of inductive sequences (A_i,ϕ_i) where each A_i is a direct sum of full matrix algebras over compact metric spaces and each partial map of ϕ_i is diagonal. We g…