Geometric classification of simple graph algebras

By Adam P. W. Sørensen. 2011

46 citations recorded by the source corpus.

Inspired by Franks' classification of irreducible shifts of finite type we provide a short list of allowed moves on graphs that preserves the stable isomorphism class of the associated C*-algebras. We show that if two graphs have stably isomorphic and simple unital algebras then we can use these moves to transform one into the other.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fb4eaa18d234cddc7f5658349c5eff6906520ccd

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. Efren Ruiz
2. Toke Meier Carlsen
3. Aidan Sims
4. Trent Yeend
5. Ben Steinberg
6. R. Exel
7. David Pask
8. Iain Raeburn

In Applied Mathematics

1. Efren Ruiz
2. Aidan Sims

In Mathematical Physics

1. Efren Ruiz
2. Aidan Sims
3. Toke Meier Carlsen
4. Trent Yeend
5. Ben Steinberg
6. Iain Raeburn
7. David Pask
8. R. Exel

Citations in the corpus

• Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras (2016, background): “2 has implications for the stable isomorphisms associated to Sørensen’s move equivalences of graphs [28].”