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Språkvelger

Norsk

Eduard Ortega Esparza

Eduard Ortega Esparza

Professor
Department of Mathematical Sciences
Faculty of Information Technology and Electrical Engineering

eduard.ortega@ntnu.no
+4773591799 Sentralbygg 2, 1048, Gløshaugen, Alfred Getz vei 1
About Research Publications Teaching

About

CV

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. Submitted to publication. arXiv:2105.14793
  • E. Ortega, E. Pardo. Zappa-Szép products for partial actions of groupoids on left cancellative small categories. https://arxiv.org/abs/2110.05872

 

Competencies

  • Algebra/algebraic analysis
  • Analysis
  • C*-algebras
  • Dynamical systems

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

  • Chronological
  • By category
  • See all publications in Cristin

2022

  • Ortega Esparza, Eduardo; Austad, Are. (2022) Groupoids and Hermitian Banach *-algebras. International Journal of Mathematics.
    Academic article
  • Pardo, E; Ortega Esparza, Eduardo. (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

2020

  • Austad, Are; Ortega Esparza, Eduardo. (2020) C∗-uniqueness Results for Groupoids. International mathematics research notices.
    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

2019

  • 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

2017

  • 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

2014

  • Ortega Esparza, Eduardo; Pardo, E. (2014) Purely infinite crossed products by endomorphisms. Journal of Mathematical Analysis and Applications. volum 412 (1).
    Academic article

2013

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

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. 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

Scientific articles

  • Ortega Esparza, Eduardo; Austad, Are. (2022) Groupoids and Hermitian Banach *-algebras. International Journal of Mathematics.
    Academic article
  • Pardo, E; Ortega Esparza, Eduardo. (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.
    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. 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

Teaching

Courses

  • MA6102 - Basis Calculus 2
  • MA1102 - Basic Calculus 2
  • MA8107 - Operator Algebras
  • TMA4120 - Mathematics 4K - Complex analysis, differential equations and Fourier analysis
  • TMA4230 - Functional Analysis
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