Graded K-theory and Leavitt path algebras

Author:

Arnone GuidoORCID,Cortiñas Guillermo

Funder

Secretaría de Ciencia y Técnica, Universidad de Buenos Aires

Agencia Nacional de Promoción Científica y Tecnológica

Ministerio de Ciencia, Innovación y Universidades

Consejo Nacional de Investigaciones Científicas y Técnicas

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference18 articles.

1. Abrams, G., Ara, P., Siles Molina, M.: Leavitt path algebras, Lecture Notes in Math, vol. 2008. Springer (2017)

2. Ara, P., Moreno, M.A., Pardo, E.: Nonstable $$K$$-theory for graph algebras. Algebr. Represent. Theory 10(2), 157–178 (2007). https://doi.org/10.1007/s10468-006-9044-z

3. Ara, P., Hazrat, R., Huanhuan, L., Aidan, S.: Graded Steinberg algebras and their representa- tions. Algebra Number Theory 12(1), 131–172 (2018). https://doi.org/10.2140/ant.2018.12.131

4. Arnone G.: Álgebras de Leavitt y $$K$$-teoría bivariante hermitiana graduada, Diploma Thesis, Buenos Aires (2021). http://cms.dm.uba.ar/academico/carreras/licenciatura/tesis/2021/Arnone.pdf

5. Cortiñas G.: Álgebra II$$+1/2$$, Cursos y seminarios de matemática, Serie B, vol. Fascículo 13, Departamento de matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires

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1. Classification conjectures for Leavitt path algebras;Bulletin of the London Mathematical Society;2024-09-04

2. Lifting morphisms between graded Grothendieck groups of Leavitt path algebras;Journal of Algebra;2023-10

3. The Functor $K_{0}^{\operatorname {gr}}$ is Full and only Weakly Faithful;Algebras and Representation Theory;2023-01-25

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