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Mundey, Alexander Dr.

Associate Research Fellow

Research Overview


  • I broadly interested in the interactions between topological dynamical systems and operator algebras. My research primarily considers C*-algebraic constructions associated to dynamical systems and how C*-algebraic invariants (K-Theory, KK-Theory, KMS-States) relate to the underlying dynamical systems.

    I primarily consider C*-algebraic constructions arising from C*-correspondences and groupoids, together with some tools from noncommutative geometry. Specific classes of dynamical system I am interested in include iterated function systems, group actions on trees, and graph/symbolic dynamical systems. 

Selected Publications


  • Journal Article

    Year Title
    2021

    Published In
    Journal of Mathematical Analysis and Applications
    2017

    Published In
    Advances in Mathematics

Advisees


  • Graduate Advising Relationship

    Degree Research Title Advisee
    Doctor of Philosophy Equilibrium States of C*-Algebras Associated to Graphs of Groups Pedersen, Thomas
    Doctor of Philosophy Applications of Geometry and Topology in Quantum Physics Alexander, Angus

Education And Training


  • Ph.D. in Mathematics, University of Wollongong, School of Mathematics and Applied Statistics, "Noncommutative Dynamics and Topology of Iterated Function Systems" 2016 - 2020

Keywords


  • C*-algebras
    K-theory
    Iterated function systems
    Cuntz-Pimsner algebras
    Groupoid
    Mathematics
    Pure mathematics

Full Name


  • Dr. Alexander Mundey

Mailing Address


  • Northfields Ave

    Wollongong

    NSW

    2522

    Australia

Research Overview


  • I broadly interested in the interactions between topological dynamical systems and operator algebras. My research primarily considers C*-algebraic constructions associated to dynamical systems and how C*-algebraic invariants (K-Theory, KK-Theory, KMS-States) relate to the underlying dynamical systems.

    I primarily consider C*-algebraic constructions arising from C*-correspondences and groupoids, together with some tools from noncommutative geometry. Specific classes of dynamical system I am interested in include iterated function systems, group actions on trees, and graph/symbolic dynamical systems. 

Selected Publications


  • Journal Article

    Year Title
    2021

    Published In
    Journal of Mathematical Analysis and Applications
    2017

    Published In
    Advances in Mathematics

Advisees


  • Graduate Advising Relationship

    Degree Research Title Advisee
    Doctor of Philosophy Equilibrium States of C*-Algebras Associated to Graphs of Groups Pedersen, Thomas
    Doctor of Philosophy Applications of Geometry and Topology in Quantum Physics Alexander, Angus

Education And Training


  • Ph.D. in Mathematics, University of Wollongong, School of Mathematics and Applied Statistics, "Noncommutative Dynamics and Topology of Iterated Function Systems" 2016 - 2020

Keywords


  • C*-algebras
    K-theory
    Iterated function systems
    Cuntz-Pimsner algebras
    Groupoid
    Mathematics
    Pure mathematics

Full Name


  • Dr. Alexander Mundey

Mailing Address


  • Northfields Ave

    Wollongong

    NSW

    2522

    Australia

Research Areas