23 citations · 27 across the 7 of their papers we have counts for
7 papers
On the independence of K-theory and stable rank for simple C*-algebras
Andrew S. Toms
We construct a simple, separable, unital, and nuclear C*-algebra with weakly unperforated K_0-group which does not absorb the Jiang-Su algebra Z tensorially. As a result, we obtain…
Strong perforation in infinitely generated K_0-groups of simple C*-algebras
Andrew S. Toms
Let (G,G^+) be a simple ordered abelian group. We say that G has strong perforation if there exists a non-positive element x in G such that nx is positive and non-zero for some nat…
Cancellation does not imply stable rank one
Andrew S. Toms
An unital C*-algebra A is said to have cancellation of projections if the semigroup D(A) of Murray-von Neumann equivalence classes of projections in matrices over A is cancellative…
On the classification problem for nuclear C*-algebras
Andrew S. Toms
We construct a simple, unital AH algebra which is shape equivalent to its tensor product with any infinite-dimensional UHF algebra, has the same tracial simplex as the said tensor…
Inductive limits of K-theoretic complexes with torsion coefficients
Soren Eilers, Andrew S. Toms
We present the first range result for the total K-theory of C*-algebras. This invariant has been used successfully to classify certain separable, nuclear C*-algebras of real rank z…
Z-stable ASH algebras
Andrew S. Toms, Wilhelm Winter
The Jiang--Su algebra Z has come to prominence in the classification program for nuclear C*-algebras of late, due primarily to the fact that Elliott's classification conjecture pre…