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-... Erling A. T. Svela (Master)
2021-... Einar V. Hetland (Master)

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 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

2022

Austad, Are; Ortega Esparza, Eduardo. (2022) Groupoids and Hermitian Banach *-algebras. International Journal of Mathematics. volum 33 (14).
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. volum 104 (5).
Academic article
Nyland, Petter Kjeverud; Ortega Esparza, Eduardo. (2021) Matui’s AH Conjecture for Graph Groupoids. Documenta Mathematica. volum 26.
Academic article

2013

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

2012

Carlsen, Toke Meier; Ortega Esparza, Eduardo; Pardo, E. (2012) Simple Cuntz-Pimsner rings. Journal of Algebra. volum 371.
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). volum 1.
Academic article

2011

Carlsen, Toke Meier; Ortega, Eduard. (2011) Algebraic Cuntz-Pimsner rings. Proceedings of the London Mathematical Society. volum 103.
Academic article
Ortega Esparza, Eduardo; Perera, Francesc; Rørdam, Mikael. (2011) THE CORONA FACTORIZATION PROPERTY AND REFINEMENT MONOIDS. Transactions of the American Mathematical Society. volum 363 (9).
Academic article
Ortega Esparza, Eduardo; Rørdam, Mikael; Thiel, Hannes. (2011) The Cuntz semigroup and comparison of open projections. Journal of Functional Analysis. volum 260 (12).
Academic article

2009

Ortega Esparza, Eduardo; Ara, Pere; Mathieu, M. (2009) The maximal C*-algebra of quotients as an operator bimodule. Archiv der Mathematik. volum 92.
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. volum 303.
Academic article

Journal publications

Austad, Are; Ortega Esparza, Eduardo. (2022) Groupoids and Hermitian Banach *-algebras. International Journal of Mathematics. volum 33 (14).
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. volum 104 (5).
Academic article
Nyland, Petter Kjeverud; Ortega Esparza, Eduardo. (2021) Matui’s AH Conjecture for Graph Groupoids. Documenta Mathematica. volum 26.
Academic article
Austad, Are; Ortega Esparza, Eduardo. (2020) C∗-uniqueness Results for Groupoids. International Mathematics Research Notices (IMRN).
Academic article
Ortega Esparza, Eduardo. (2020) The homology of the Katsura-Exel-Pardo groupoid. Journal of Noncommutative Geometry. volum 14 (3).
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
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. volum 469 (2).
Academic article
Carlsen, Toke; Kwasniewski, Bartosz K.; Ortega Esparza, Eduardo. (2019) Topological freeness for C*-correspondences. Journal of Mathematical Analysis and Applications. volum 473 (2).
Academic article
Nyland, Petter Kjeverud; Ortega Esparza, Eduardo. (2019) Topological full groups of ample groupoids with applications to graph algebras. International Journal of Mathematics. volum 30 (4).
Academic article
Carlsen, Toke; Ortega Esparza, Eduardo; Pardo, E. (2017) C*-algebras associated to Boolean dynamical systems. Journal of Mathematical Analysis and Applications. volum 450 (1).
Academic article
Ortega Esparza, Eduardo; Pardo, E. (2014) Purely infinite crossed products by endomorphisms. Journal of Mathematical Analysis and Applications. volum 412 (1).
Academic article
Carlsen, Toke Meier; Ortega Esparza, Eduardo; Pardo, E. (2012) Simple Cuntz-Pimsner rings. Journal of Algebra. volum 371.
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). volum 1.
Academic article
Carlsen, Toke Meier; Ortega, Eduard. (2011) Algebraic Cuntz-Pimsner rings. Proceedings of the London Mathematical Society. volum 103.
Academic article
Ortega Esparza, Eduardo; Perera, Francesc; Rørdam, Mikael. (2011) THE CORONA FACTORIZATION PROPERTY AND REFINEMENT MONOIDS. Transactions of the American Mathematical Society. volum 363 (9).
Academic article
Ortega Esparza, Eduardo; Rørdam, Mikael; Thiel, Hannes. (2011) The Cuntz semigroup and comparison of open projections. Journal of Functional Analysis. volum 260 (12).
Academic article
Ortega Esparza, Eduardo; Ara, Pere; Mathieu, M. (2009) The maximal C*-algebra of quotients as an operator bimodule. Archiv der Mathematik. volum 92.
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. volum 303.
Academic article

Part of book/report

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

Språkvelger