On the classification of simple amenable C*-algebras with finite decomposition rank

By G. Elliott, Z. Niu. 2015

178 citations recorded by the source corpus.

Let $A$ be a unital simple separable C*-algebra satisfying the UCT. Assume that $\mathrm{dr}(A)<+\infty$, $A$ is Jiang-Su stable, and $\mathrm{K}_0(A)\otimes \mathbb{Q}\cong \mathbb{Q}$. Then $A$ is an ASH algebra (indeed, $A$ is a rationally AH algebra).

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8218b0a7704b8b52b8b589480d6ed4bf26a02862

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Rufus Willett
2. E. Guentner
3. Guoliang Yu
4. Nathanial P. Brown Narutaka Ozawa
5. Ján Špakula
6. Zhizhang Xie

In Geometry and Topology

1. Rufus Willett
2. Guoliang Yu
3. E. Guentner
4. Martin Finn-Sell
5. Romain Tessera
6. Daniel A. Ramras
7. Nathanial P. Brown Narutaka Ozawa
8. Igor Mineyev

In Mathematical Physics

1. Rufus Willett
2. Guoliang Yu
3. E. Guentner
4. Martin Finn-Sell
5. Ján Špakula
6. Nathanial P. Brown Narutaka Ozawa
7. Romain Tessera
8. Qin Wang

Citations in the corpus

• Dynamic asymptotic dimension: relation to dynamics, topology, coarse geometry, and $$C^*$$C∗-algebras (2015, background): “Thanks to spectacular recent advances in C-algebra theory [10, 38], it seems that one now knows that this implies these crossed products fall under the purview of the Elliott program.”