Eduard Ortega Esparza

Om

Eduard Ortega is a Professor at the Department of Mathematical Sciences since 2014 after postdoctoral positions at the University of Southern Denmark (2007-2009), University of Copenhagen (2009-2010) and NTNU (2010-2012). He is a member of the Analysis Group. Eduard Ortega has a MSc, and a PhD both from the Univeristat Autonoma de Barcelona.

His research interests are in Operator algebras, dynamical systems and ring theory.

Keywords: C*-algebra, Groupoid, Graph algebras, Topological full group.

Employment

1997-2000 Senior Analyst in EDS
2001-2007 Assistant professor (part-time), Universitat Autònoma de Barcelona, Spain.
2007-2009 Post. Doc., University of Southern Denmark, Denmark.
2009-2010 Post. Doc., University of Copenhagen, Denmark.
2010-2012 Post. Doc., NTNU, Trondheim, Norway.
2014-2015 Guest Associate Professor. NTNU, Trondheim, Norway.
2015 - 2021 Associated Professor. NTNU, Trondheim, Norway.
2022 - Present Professor. NTNU. Trondheim. NTNU

Teaching

MA1102 Grunnkurs i analyse II
TMA4120 Matematikk 4K
TMA4230 Functional Analysis
MA8107 Operator Algebras

Students:

2017 Thale Ness (Bachelor).
2016- 2020 Petter Nyland (Ph.D. main supervisor)
2017-2021 Are Austad (Ph.D. co-supervisor)
2017 - 2021 Eirik Skrettingland (Ph.D. co-supervisor)
2021 Max Hauge (Bachelor)
2021-... Mathias Palmstrøm (Ph.D. main supervisor)
2021- 2022 Erling A. T. Svela (Master)
2021- 2022 Einar V. Hetland (Master)
2022 - present: Erling A. T. Svela (Ph.D. co-supervisor)

Preprints:

E. Ortega, E. Scarparo. Almost finiteness and homology for certain non-free actions. To appear in Groups, Geometry and Dynamics. arXiv:2007.02329
P. Nyland, E. Ortega. Matui’s AH-conjecture for graph groupoids. To appear in Documenta Mathematica arXiv:2003.14055
E. Ortega, A. Sanchez. The homology of the groupoid of the self-similar infinite dihedral group. To appear in Math. Scand. arXiv:2011.02554
P. Nyland, E. Ortega. Katsura--Exel--Pardo Groupoids and the AH~Conjecture, to appear in the J. Lond. Math. Soc. arXiv:2007.06638
Austad, E. Ortega. Groupoids and Hermitian Banach *-algebras. To appear in Internat. J. Math. arXiv:2105.14793
E. Ortega, E. Pardo. Zappa-Szép products for partial actions of groupoids on left cancellative small categories. To appear in Journal of noncommutative geometry https://arxiv.org/abs/2110.05872
E. V. Hetland, E. Ortega. Rigidity of groupoid L^p-algebra. To appear in Journal of functional Analysis. https://arxiv.org/abs/2209.11447
A. Austad, E. Ortega, M. Palmstrøm. Polynomial growth and property RD_p for etale groupoids with application to K-theory. https://arxiv.org/abs/2304.14458

Publikasjoner

2024

Austad, Are; Esparza, Eduardo Ortega; Palmstrøm, Mathias Sperre. (2024) Polynomial growth and property RD<inf>p</inf> for étale groupoids with applications to K-theory. Journal of Noncommutative Geometry
Vitenskapelig artikkel

2023

Esparza, Eduardo Ortega; Scarparo, Eduardo. (2023) Almost finiteness and homology of certain non-free actions. Groups, Geometry, and Dynamics
Vitenskapelig artikkel
Hetland, Einar Våge; Esparza, Eduardo Ortega. (2023) Rigidity of twisted groupoid L<sup>p</sup>-operator algebras. Journal of Functional Analysis
Vitenskapelig artikkel

2022

Esparza, Eduardo Ortega; Sanchez, Alvaro. (2022) The homology of the groupoid of the self-similar dihedral group. Mathematica Scandinavica
Vitenskapelig artikkel
Austad, Are; Esparza, Eduardo Ortega. (2022) Groupoids and Hermitian Banach *-algebras. International Journal of Mathematics
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Pardo, E. (2022) Zappa-Szép products for partial actions of groupoids on left cancellative small categories. Journal of Noncommutative Geometry
Vitenskapelig artikkel

2021

Nyland, Petter Kjeverud; Esparza, Eduardo Ortega. (2021) Katsura–Exel–Pardo groupoids and the AH conjecture. Journal of the London Mathematical Society
Vitenskapelig artikkel
Nyland, Petter Kjeverud; Esparza, Eduardo Ortega. (2021) Matui’s AH Conjecture for Graph Groupoids. Documenta Mathematica
Vitenskapelig artikkel

2020

Austad, Are; Esparza, Eduardo Ortega. (2020) C∗-uniqueness Results for Groupoids. International Mathematics Research Notices (IMRN)
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Espino, Enrique. (2020) THE TIGHT GROUPOID OF THE INVERSE SEMIGROUPS OF LEFT CANCELLATIVE SMALL CATEGORIES. Transactions of the American Mathematical Society
Vitenskapelig artikkel
Nyland, Petter Kjeverud; Esparza, Eduardo Ortega. (2020) Ample Groupoids and their Topological Full Groups. Norges teknisk-naturvitenskapelige universitet Norges teknisk-naturvitenskapelige universitet
Doktorgradsavhandling
Esparza, Eduardo Ortega. (2020) The homology of the Katsura-Exel-Pardo groupoid. Journal of Noncommutative Geometry
Vitenskapelig artikkel

2019

Carlsen, Toke Meier; Eilers, Søren; Esparza, Eduardo Ortega; Restorff, Gunnar. (2019) Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids. Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
Carlsen, Toke; Kwasniewski, Bartosz K.; Esparza, Eduardo Ortega. (2019) Topological freeness for C*-correspondences. Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
Nyland, Petter Kjeverud; Esparza, Eduardo Ortega. (2019) Topological full groups of ample groupoids with applications to graph algebras. International Journal of Mathematics
Vitenskapelig artikkel

2017

Carlsen, Toke; Esparza, Eduardo Ortega; Pardo, E. (2017) C*-algebras associated to Boolean dynamical systems. Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel

2014

Esparza, Eduardo Ortega; Pardo, E. (2014) Purely infinite crossed products by endomorphisms. Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel

2013

Esparza, Eduardo Ortega; Pardo, E. (2013) The Structure of Stacey Crossed Products by Endomorphisms.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel

2012

Esparza, Eduardo Ortega; Rørdam, Mikael; Perera, Francesc. (2012) The Corona Factorization Property, Stability, and the Cuntz Semigroup of a C*-algebra. International Mathematics Research Notices (IMRN)
Vitenskapelig artikkel
Carlsen, Toke Meier; Esparza, Eduardo Ortega; Pardo, E. (2012) Simple Cuntz-Pimsner rings. Journal of Algebra
Vitenskapelig artikkel

2011

Carlsen, Toke Meier; Ortega, Eduard. (2011) Algebraic Cuntz-Pimsner rings. Proceedings of the London Mathematical Society
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Rørdam, Mikael; Thiel, Hannes. (2011) The Cuntz semigroup and comparison of open projections. Journal of Functional Analysis
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Perera, Francesc; Rørdam, Mikael. (2011) THE CORONA FACTORIZATION PROPERTY AND REFINEMENT MONOIDS. Transactions of the American Mathematical Society
Vitenskapelig artikkel

2009

Esparza, Eduardo Ortega; Ara, Pere; Mathieu, M. (2009) The maximal C*-algebra of quotients as an operator bimodule. Archiv der Mathematik
Vitenskapelig artikkel

2008

Esparza, Eduardo Ortega. (2008) Rings of quotients of some infinite dimensional path algebras. Acta Mathematica Hungarica
Vitenskapelig artikkel
Esparza, Eduardo Ortega. (2008) Two-sided localization of bimodules. Communications in Algebra
Vitenskapelig artikkel

2006

Esparza, Eduardo Ortega. (2006) Rings of quotients of incidence algebras and path algebras. Journal of Algebra
Vitenskapelig artikkel

Tidsskriftspublikasjoner

Austad, Are; Esparza, Eduardo Ortega; Palmstrøm, Mathias Sperre. (2024) Polynomial growth and property RD<inf>p</inf> for étale groupoids with applications to K-theory. Journal of Noncommutative Geometry
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Scarparo, Eduardo. (2023) Almost finiteness and homology of certain non-free actions. Groups, Geometry, and Dynamics
Vitenskapelig artikkel
Hetland, Einar Våge; Esparza, Eduardo Ortega. (2023) Rigidity of twisted groupoid L<sup>p</sup>-operator algebras. Journal of Functional Analysis
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Sanchez, Alvaro. (2022) The homology of the groupoid of the self-similar dihedral group. Mathematica Scandinavica
Vitenskapelig artikkel
Austad, Are; Esparza, Eduardo Ortega. (2022) Groupoids and Hermitian Banach *-algebras. International Journal of Mathematics
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Pardo, E. (2022) Zappa-Szép products for partial actions of groupoids on left cancellative small categories. Journal of Noncommutative Geometry
Vitenskapelig artikkel
Nyland, Petter Kjeverud; Esparza, Eduardo Ortega. (2021) Katsura–Exel–Pardo groupoids and the AH conjecture. Journal of the London Mathematical Society
Vitenskapelig artikkel
Nyland, Petter Kjeverud; Esparza, Eduardo Ortega. (2021) Matui’s AH Conjecture for Graph Groupoids. Documenta Mathematica
Vitenskapelig artikkel
Austad, Are; Esparza, Eduardo Ortega. (2020) C∗-uniqueness Results for Groupoids. International Mathematics Research Notices (IMRN)
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Espino, Enrique. (2020) THE TIGHT GROUPOID OF THE INVERSE SEMIGROUPS OF LEFT CANCELLATIVE SMALL CATEGORIES. Transactions of the American Mathematical Society
Vitenskapelig artikkel
Esparza, Eduardo Ortega. (2020) The homology of the Katsura-Exel-Pardo groupoid. Journal of Noncommutative Geometry
Vitenskapelig artikkel
Carlsen, Toke Meier; Eilers, Søren; Esparza, Eduardo Ortega; Restorff, Gunnar. (2019) Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids. Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
Carlsen, Toke; Kwasniewski, Bartosz K.; Esparza, Eduardo Ortega. (2019) Topological freeness for C*-correspondences. Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
Nyland, Petter Kjeverud; Esparza, Eduardo Ortega. (2019) Topological full groups of ample groupoids with applications to graph algebras. International Journal of Mathematics
Vitenskapelig artikkel
Carlsen, Toke; Esparza, Eduardo Ortega; Pardo, E. (2017) C*-algebras associated to Boolean dynamical systems. Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Pardo, E. (2014) Purely infinite crossed products by endomorphisms. Journal of Mathematical Analysis and Applications
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Rørdam, Mikael; Perera, Francesc. (2012) The Corona Factorization Property, Stability, and the Cuntz Semigroup of a C*-algebra. International Mathematics Research Notices (IMRN)
Vitenskapelig artikkel
Carlsen, Toke Meier; Esparza, Eduardo Ortega; Pardo, E. (2012) Simple Cuntz-Pimsner rings. Journal of Algebra
Vitenskapelig artikkel
Carlsen, Toke Meier; Ortega, Eduard. (2011) Algebraic Cuntz-Pimsner rings. Proceedings of the London Mathematical Society
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Rørdam, Mikael; Thiel, Hannes. (2011) The Cuntz semigroup and comparison of open projections. Journal of Functional Analysis
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Perera, Francesc; Rørdam, Mikael. (2011) THE CORONA FACTORIZATION PROPERTY AND REFINEMENT MONOIDS. Transactions of the American Mathematical Society
Vitenskapelig artikkel
Esparza, Eduardo Ortega; Ara, Pere; Mathieu, M. (2009) The maximal C*-algebra of quotients as an operator bimodule. Archiv der Mathematik
Vitenskapelig artikkel
Esparza, Eduardo Ortega. (2008) Rings of quotients of some infinite dimensional path algebras. Acta Mathematica Hungarica
Vitenskapelig artikkel
Esparza, Eduardo Ortega. (2008) Two-sided localization of bimodules. Communications in Algebra
Vitenskapelig artikkel
Esparza, Eduardo Ortega. (2006) Rings of quotients of incidence algebras and path algebras. Journal of Algebra
Vitenskapelig artikkel

Del av bok/rapport

Esparza, Eduardo Ortega; Pardo, E. (2013) The Structure of Stacey Crossed Products by Endomorphisms.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel

Rapport

Nyland, Petter Kjeverud; Esparza, Eduardo Ortega. (2020) Ample Groupoids and their Topological Full Groups. Norges teknisk-naturvitenskapelige universitet Norges teknisk-naturvitenskapelige universitet
Doktorgradsavhandling

Språkvelger