Structure and invariants of some crossed product C*-algebras

Funder	Engineering and Physical Sciences Research Council
Recipient Organization	University of Southampton
Country	United Kingdom
Start Date	Sep 30, 2024
End Date	Sep 22, 2028
Duration	1,453 days
Number of Grantees	2
Roles	Student; Supervisor
Data Source	UKRI Gateway to Research
Grant ID	`2930770`

Grant Description

Studying symmetries of objects is ubiquitous in mathematics. In the modern mathematical language, this is called group actions. Group actions on C*-algebras generalise group actions on topological spaces, and the crossed product operation corresponds to taking the quotient of a space by an action. This project concerns C*-algebras that arise from two main

📚 Sources & References

One is from the Classification Programme of C*-algebras, where the current research concerns actions of finite groups on classifiable C*-algebras. The other arises from the study of actions of non-positively curved groups on the relevant boundaries. In both cases, one is interested in the structure and K-theory of the corresponding crossed product C*-algebras, and this is the aim of this project.