22 citations · 41 across the 9 of their papers we have counts for
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math.OA2006★ 9 cited
The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras
Nathanial P. Brown, Francesc Perera, Andrew S. Toms
We prove that the Cuntz semigroup is recovered functorially from the Elliott invariant for a large class of C*-algebras. In particular, our results apply to the largest class of si…
math.OA2006
Recasting the Elliott conjecture
Francesc Perera, Andrew S. Toms
Let A be a simple, unital, exact, and finite C*-algebra which absorbs the Jiang-Su algebra Z tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding i…