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4 papers · 2 filters
The Jiang-Su algebra does not always embed
Marius Dadarlat, Ilan Hirshberg, Andrew S. Toms +1
We exhibit a unital simple nuclear non-type-I C*-algebra into which the Jiang-Su algebra does not embed unitally. This answers a question of M. Rørdam.
Three Applications of the Cuntz Semigroup
Nathanial P. Brown, Andrew S. Toms
Building on work of Elliott and coworkers, we present three applications of the Cuntz semigroup: (i) for many simple C-algebras, the Thomsen semigroup is recovered functorially…
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…