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Analysis 2 (Operator Algebras, Functional Analysis) Lab (Masaki Izumi)
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A lab that studies operator algebras, which are infinite-dimensional, noncommutative algebras.
AboutAbout the lab
Investigating operator algebras, infinite-dimensional algebras.
The lab studies operator algebras in the field of functional analysis.
An operator algebra is an algebra formed by operators on a Hilbert space, and is characterized by being infinite-dimensional and noncommutative.
The lab works on the classification of subfactors, the classification of group actions on operator algebras, and noncommutative analysis.
Key terms
- Hilbert space
- A vector space in which length and angle can be measured, extended to infinite dimensions.
- Noncommutative
- Meaning that changing the order of multiplication can change the result.
- C*-algebra
- An operator algebra that is closed with respect to the operator norm, a way of measuring length.
ResearchResearch themes
The lab studies the theory of operator algebras. It works on the classification of subfactors, the classification of group actions on operator algebras, and noncommutative analysis.
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MembersFaculty
- ProfessorMasaki Izumi
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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: “JonesLink” ProfKnots / CC BY-SA 4.0 (cropped)
- Classification of subfactors and group actions: “Hyperbolic tiling 7-2 7” Double sharp (talk), based on this picture by Jim McNeill, but with the centres of the heptagrams left uncoloured to prevent colours from overlapping. Created using Tyler and Paint. / Public domain (cropped)
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