**SMS scnews item created by James East at Tue 5 May 2009 0953**

Type: Seminar

Distribution: World

Expiry: 8 May 2009

**Calendar1: 8 May 2009 1205-1255**

**CalLoc1: Carslaw 375**

CalTitle1: Algebra Seminar: Zhang -- Quantum group actions on noncommutative algebras and equivariant K-theory

Auth: jamese@bari.maths.usyd.edu.au

### Algebra Seminar

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

### Ruibin Zhang

#### Friday May 8, 12:05--12:55pm, Carslaw 375

##### Abstract

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.

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After the seminar we will be taking the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East jamese@maths.usyd.edu.au