## University of Sydney Algebra Seminar

# Ruibin Zhang (University of Sydney)

## Friday 8th May, 12.05-12.55pm, Carslaw 375

### Quantum group actions on noncommutative algebras and equivariant K-theory

We study module algebras over quantum groups and their categories of equivariant modules. An equivariant algebraic K-theory of quantum group actions is introduced, and properties of this K-theory are developed. The equivariant K-groups for quantum homogeneous spaces and quantum symmetric algebras are computed. This is joint work with Gus Lehrer and Ngau Lam.