Eduardo Ortega Esparza
Background and activities
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
Courses
- TMA4230 - Functional Analysis
- MA8107 - Operator Algebras
- TMA4120 - Mathematics 4K - Complex analysis, differential equations and Fourier analysis
Scientific, academic and artistic work
Displaying a selection of activities. See all publications in the database
2021
- (2021) Katsura–Exel–Pardo groupoids and the AH conjecture. Journal of the London Mathematical Society. vol. 104 (5).
- (2021) Matui’s AH Conjecture for Graph Groupoids. Documenta Mathematica. vol. 26.
2020
- (2020) C∗-uniqueness Results for Groupoids. International mathematics research notices.
- (2020) The homology of the Katsura-Exel-Pardo groupoid. Journal of Noncommutative Geometry. vol. 14 (3).
- (2020) THE TIGHT GROUPOID OF THE INVERSE SEMIGROUPS OF LEFT CANCELLATIVE SMALL CATEGORIES. Transactions of the American Mathematical Society.
2019
- (2019) Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids. Journal of Mathematical Analysis and Applications. vol. 469 (2).
- (2019) Topological freeness for C*-correspondences. Journal of Mathematical Analysis and Applications. vol. 473 (2).
- (2019) Topological full groups of ample groupoids with applications to graph algebras. International Journal of Mathematics. vol. 30 (4).
2017
- (2017) C*-algebras associated to Boolean dynamical systems. Journal of Mathematical Analysis and Applications. vol. 450 (1).
2014
- (2014) Purely infinite crossed products by endomorphisms. Journal of Mathematical Analysis and Applications. vol. 412 (1).
2013
- (2013) The Structure of Stacey Crossed Products by Endomorphisms. Operator Algebra and Dynamics.
2012
- (2012) Simple Cuntz-Pimsner rings. Journal of Algebra. vol. 371.
- (2012) The Corona Factorization Property, Stability, and the Cuntz Semigroup of a C*-algebra. International mathematics research notices. vol. 1.
2011
- (2011) Algebraic Cuntz-Pimsner rings. Proceedings of the London Mathematical Society. vol. 103.
- (2011) THE CORONA FACTORIZATION PROPERTY AND REFINEMENT MONOIDS. Transactions of the American Mathematical Society. vol. 363 (9).
- (2011) The Cuntz semigroup and comparison of open projections. Journal of Functional Analysis. vol. 260 (12).
2009
- (2009) The maximal C*-algebra of quotients as an operator bimodule. Archiv der Mathematik. vol. 92.
2008
- (2008) Rings of quotients of some infinite dimensional path algebras. Acta Mathematica Hungarica.
- (2008) Two-sided localization of bimodules. Communications in Algebra.
2006
- (2006) Rings of quotients of incidence algebras and path algebras. Journal of Algebra. vol. 303.