4 citations · 5 across the 4 of their papers we have counts for
5 papers
Amenability and Uniqueness
A. Ciuperca, T. Giordano, P. W. Ng +1
The main result of this paper is a characterization of properly infinite injective von Neumann algebras and of nuclear C*-algebras by using a uniqueness theorem, based on generaliz…
On inductive limits of type I C*-algebras with one-dimensional spectrum
Alin Ciuperca, George A. Elliott, Luis Santiago
The class of separable C*-algebras which can be written as inductive limits of continuous-trace C*-algebras with spectrum homeomorphic to a disjoint union of trees and trees with a…
Isomorphism of Hilbert modules over stably finite C*-algebras
Nathanial P. Brown, Alin Ciuperca
It is shown that if A is a stably finite C*-algebra and E is a countably generated Hilbert A-module, then E gives rise to a compact element of the Cuntz semigroup if and only if E…
Cuntz semigroups of ideals and quotients and a generalized Kasparov Stabilization Theorem
Alin Ciuperca, Leonel Robert, Luis Santiago
Let A be a C*-algebra and I a closed two-sided ideal of A. We use the Hilbert C*-modules picture of the Cuntz semigroup to investigate the relations between the Cuntz semigroups of…
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…