革新知能統合研究センター

Speaker: Fuyuta Komura

Date and Time: 18th April 2019, 13:00 – 14:00 + 30min.

Place: Building 14, Room 631A/B

Title: Quotients of étale groupoids and the abelianizations of groupoid C*-algebras

Abstract:
The study of C*-algebras associated to étale groupoids, known to be groupoid C*-algebras, was initiated by Renault in 1980.
It is a natural task to characterize the property of groupoid C*-algebras by the language of étale groupoids.
In this talk, the speaker give an overview of groupoid C*-algebras and quotient étale groupoids.
Then, the speaker talk about applications of quotients to analysis of the ideal structure and the abelianizations of groupoid C*-algebras.
This talk is based on the preprint “Quotients of étale groupoids and the abelianizations of groupoid C*-algebras” (arXiv:1812.07194) by the speaker.
If you are interested, please feel free to join.