C*-algebra theory gives a mathematical framework to understand infinite dimensional, non-commutative structures.
When we study such objects (like groups, dynamical systems, metric spaces etc), C*-algebras often appear naturally and they play an essential role to analyze the original structures.
I myself aim to deepen understanding of C*-algebras via these constructions and trying to find new phenomena in this theory.
Recently, I succeeded to obtain an (essentially) non-commutative variant of amenable actions.
My further reseaches show that these actions give an appropriate approach to
understand Kirchberg algebras.
I would like to continue to study this new interesting phenomena further, and want to understand well.
- Yuhei Suzuki，Almost finiteness for general etale groupoids and its applications to stable rank of crossed products,
Int. Math. Res. Not., (accepted)
- Yuhei Suzuki，Simple equivariant C*-algebras whose full and reduced crossed products coincide,
J. Noncommut. Geom. 13 (2019), 1577–1585.
- Yuhei Suzuki，Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems,
Commun. Math. Phys., (accepted)
- Yuhei Suzuki，Non-amenable tight squeezes by Kirchberg algebras,