Eduard Ortega Esparza

About

Eduard Ortega is a Professor at the Department of Mathematical Sciences since 2014 after postdoctoral positions at the University of Southern Denmar (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, Norway.

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)

Preprints:

A. Austad, E. Ortega, M. Palmstrøm. Polynomial growth and property RD_p for étale groupoids with applications to K-theory. arxiv.org/abs/2304.14458
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 International Journal of Mathematics. 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

Research

My research interest is mainly on the field of operator algebras. I studied operator algebras arising from groups and groupoids. Of special interest for applications to dynamical systems and non-commutative geometry.

Publications

2023

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

2022

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

2021

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

2020

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

2013

Ortega Esparza, Eduardo; Pardo, E. (2013) The Structure of Stacey Crossed Products by Endomorphisms. Springer
Academic chapter/article/Conference paper

2012

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

2011

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

2009

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

2008

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

2006

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

Journal publications

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

Part of book/report

Ortega Esparza, Eduardo; Pardo, E. (2013) The Structure of Stacey Crossed Products by Endomorphisms. Springer
Academic chapter/article/Conference paper

Report

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

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