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Matui Lab
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The lab studies dynamical systems through the structure known as C*-algebras.
AboutAbout the lab
Finding essential structure within complex objects.
The Matui Lab studies, in the field of operator algebras, dynamical systems generated by homeomorphisms of compact spaces.
It investigates dynamical systems through C*-algebras, which are analytic and algebraic structures.
Its work includes K-theory of C*-algebras, group actions on C*-algebras, classification of minimal dynamical systems up to orbit equivalence, and analysis of topological full groups.
From a perspective where analysis, algebra, and geometry intersect, the lab aims to find simple, essential structure within complex and large objects.
Key terms
- C*-algebra
- A mathematical object that has both analytic and algebraic structure. Here it is used as a tool for studying dynamical systems.
- K-theory
- A theory that assigns to objects such as C*-algebras invariants that serve as clues for classification.
- Minimal dynamical system
- A dynamical system in which the orbit of every point is dense in the whole space.
ResearchResearch themes
The lab's field is operator algebras, with K-theory of C*-algebras and minimal dynamical systems as its themes. It studies dynamical systems on compact spaces through C*-algebras.
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MembersFaculty
- ProfessorHiroki MatuiPublications ↗
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Cantors cube” User:Solkoll / Public domain (cropped)
- K-theory of C*-algebras and Minimal Dynamical Systems: “Generalized cantor set” Eugen Anitas / Public domain (cropped)
- Related lab (Takada Lab): “Kelvin-Helmholtz instability clouds” Brocken Inaglory / CC BY-SA 3.0 (cropped)
- Related lab (Shimomura Lab): “Traveling wave” P.wormer / CC BY-SA 3.0 (cropped)
- Related lab (Kida Lab): “Arnold's cat map” MathsPoetry / CC BY-SA 3.0 (cropped)
- Related lab (Aida Lab): “BMonSphere” Thomas Steiner / CC BY-SA 2.5 (cropped)
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