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Grantor: Czech Science Foundation

**Objectives:**

The 3 year project will bring together 4 promising mathematicians to build upon the successes of the classification programme for C*-algebras. There are 3 main goals:

A-Study structural properties and establish classification theorems for topological dynamical systems and their C*-algebras

B-Examine quantum group actions and the structure of their associated homogeneous spaces

C-Apply metric and geometric structures in C*-algebras to understand the fine structure of classifiable C*-algebras

Each goal consists of 3-4 concrete objectives. The expected output of 12-15 high quality research papers is outlined in an achievable schedule, divided into 4 month blocks. Already home to several researchers in C*-algebras, the Project's successful funding would position the Host Institute as a major European centre for C*-algebras. The team is highly active in the C*- algebra community and collaborates with world-leading experts, promising a successful outcome and efficient dissemination of results.

Main investigator:

IM team members:

Carotenuto Alessandro |
Krutov Andrey |

Participating institutions:

Institute of Mathematics, Czech Academy of Sciences