Leavitt path algebras: the first decade

By G. Abrams. 2014

97 citations recorded by the source corpus.

The algebraic structures known as Leavitt path algebras were initially developed in 2004 by Ara, Moreno and Pardo, and almost simultaneously (using a different approach) by the author and Aranda Pino. During the intervening decade, these algebras have attracted significant interest and attention, not only from ring theorists, but from analysts working in C∗-algebras, group theorists, and symbolic dynamicists as well. The goal of this article is threefold: to introduce the notion of Leavitt path algebras to the general mathematical community; to present some of the important results in the subject; and to describe some of the field’s currently unresolved questions.

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

View Paper: https://www.semanticscholar.org/paper/cdfbf8b770b682ce6538c036152b8f2261eac177

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. Roozbeh Hazrat
2. Huanhuan Li
3. P. Ara
4. Aidan Sims
5. G. Abrams
6. Alexei Stepanov
7. Trent Yeend
8. Nikolai Vavilov

In Geometry and Topology

1. Roozbeh Hazrat
2. Huanhuan Li
3. P. Ara
4. Aidan Sims
5. Alexei Stepanov
6. Nikolai Vavilov
7. A. Bak
8. Ben Steinberg

In Mathematical Physics

1. Roozbeh Hazrat
2. Huanhuan Li
3. P. Ara
4. Aidan Sims
5. G. Abrams
6. Trent Yeend
7. M. Tomforde
8. R. Exel

Citations in the corpus

• Graded Steinberg algebras and their representations (2017, background): “Recall the following classification conjecture [Abrams 2015; Ara and Pardo 2014; Hazrat 2013b].”