sample of publications

• articles 

  • A geometric construction of isospectral magnetic graphs.  Analysis and Mathematical Physics.  13:1-44. 2023
  • A note on commutation relations and finite dimensional approximations.  EXPOSITIONES MATHEMATICAE.  40:947-960. 2022
  • Matching number, Hamiltonian graphs and magnetic Laplacian matrices.  LINEAR ALGEBRA AND ITS APPLICATIONS.  642:86-100. 2022
  • Spectral preorder and perturbations of discrete weighted graphs.  MATHEMATISCHE ANNALEN.  382:1775-1823. 2022
  • The uniform Roe algebra of an inverse semigroup.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  499:1-28. 2021
  • Representation of non-semibounded quadratic forms and orthogonal additivity.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  495:1-25. 2021
  • Amenability and paradoxicality in semigroups and C*-algebras.  JOURNAL OF FUNCTIONAL ANALYSIS.  279:1-43. 2020
  • Covering graphs, magnetic spectral gaps and applications to polymers and nanoribbons.  Symmetry.  11:1-21. 2019
  • Notions of infinity in Quantum Physics.  ArXiv.org.  1-11. 2018
  • Amenability of coarse spaces and K-algebras.  Bulletin of Mathematical Sciences.  8:257-306. 2018
  • Spectral gaps and discrete magnetic Laplacians..  LINEAR ALGEBRA AND ITS APPLICATIONS.  547:183-216. 2018
  • Amenability and uniform Roe algebras.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  459:686-716. 2018
  • On self-adjoint extensions and symmetries in quantum mechanics.  ANNALES HENRI POINCARE.  16:2367-2397. 2015
  • Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary.  JOURNAL OF FUNCTIONAL ANALYSIS.  268:634-670. 2015
  • Amenable traces and Folner C*-algebras.  EXPOSITIONES MATHEMATICAE.  32:161-177. 2014
  • Amenable traces and Følner C∗-algebras.  EXPOSITIONES MATHEMATICAE.  32:161-177. 2014
  • Folner sequences and finite operators.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  403:464-476. 2013
  • On spectral approximation, Følner sequences and crossed products.  JOURNAL OF APPROXIMATION THEORY.  170:155-171. 2013
  • On Følner nets and crossed products.  ArXiv.org.  1-12. 2010
  • On the Nuclearity of Certain Cuntz-Pimsner Algebras.  MATHEMATISCHE NACHRICHTEN.  283:752-757. 2010
  • Realization of Minimal C* - Dynamical Systems in Terms of Cuntz-Pimsner Algebras.  INTERNATIONAL JOURNAL OF MATHEMATICS.  20:751-790. 2009
  • Operator Algebras: An informal Overview.  ArXiv.org.  1-15. 2009
  • Eigenvalue Bracketing for Discrete and Metric Graphs.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  348:806-833. 2008
  • Álgebras de operadores: un campo de investigación interdisciplinar.  La Gaceta de la Real Sociedad Matemática Española.  11:641-646. 2008
  • Existence of Spectral Gaps, Covering Manifolds and Residually Finite Groups.  REVIEWS IN MATHEMATICAL PHYSICS.  20:199-231. 2008

• book chapters 

  • Notions of Infinity in Quantum Physics. In: Classical and Quantum Physics: 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control.  SPRINGER. 259-273. 2019
  • Følner Sequences in Operator Theory and Operator Algebras. In: Operator Theory, Operator Algebras and Applications.  SPRINGER. 1-24. 2014
  • Modular theory by example. In: Aspects of operator algebras and applications.  AMERICAN MATHEMATICAL SOCIETY. 73-96. 2011
  • [Apendix]: Basic definitions and results for operator algebras. In: Aspects of operator algebras and applications.  AMERICAN MATHEMATICAL SOCIETY. 157-167. 2011

• conference contributions 

  • ROOM ONE: Amenability versus paradoxical decompositions for inverse semigroups and their C*-algebras 2020
  • Grafos periódicos, Laplaciano magnético y lagunas espectrales 2019
  • On the Dichotomy of Paradoxical versus Amenable.  7-7. 2019
  • Amenability notions around Roe algebras 2018
  • Paradoxicality and operator algebras 2018
  • Notions of infinity in local quantum physics 2017
  • Amenability and paradoxical decompositions: analytic aspects 2016
  • Operators, Foelner sequences and paradoxicality.  9-9. 2016
  • Amenability aspects around Roe C*-algebras.  28-28. 2015
  • Foelner C*-algebras and applications 2015
  • Notions of Amenability 2015
  • Operator algebra: amenability aspects around Roe-algebras.  10-10. 2015
  • Finite operators and Foelner sequences of projections 2014
  • Foelner sequences of projections in operator theory and operator algebras 2014
  • Spectral gaps for periodic discrete and metric graphs 2013
  • Folner sequences in operator theory and operator algebras.  24. 2012
  • Around Folner sequences in Operator Theory and Operator Algebras 2011
  • Foelner sequences in operator Theory and operator Algebras.  62. 2011
  • Modular Theory for von Neumann algebras and some applications to quantum physics 2011
  • A Quantum Theory of Constraints 2008
  • An Invitation to Modular Theory and von Neumann Algebras 2008
  • Eigenvalue Bracketing for Discrete and Metric Graphs 2008
  • Examples of Modular Objects 2008
  • Generating Spectral Gaps by Geometry: Riemannian Coverings with Residually Finite Groups 2008
  • Haag-Kastler Axioms and First Consequences 2008
  • Informal overview on C*-algebras and von Neumann algebras 2008
  • Modular Theory: Definition and Main Results 2008
  • Operator Algebras as a Natural Language for Quantum Theory 2008
  • Spectral Gaps for Periodic Discrete and Metric Graphs 2008
  • Vacuum Representation and Reeh-Schlieder Theorem 2008
  • Von Neumann Algebras: classification and examples 2008

• working papers 

  • Amenable traces and Foelner C*-algebras 2013
  • Operator algebras: an informal overview 2011