School Seminars and Colloquia

Group Algebras - injectivity and its generalizations

Algebra/Geometry/Topology Seminar

by S.K. Jain


Institution: Ohio State University, USA
Date: Fri 6th May 2011
Time: 2:15 PM
Location: Russell Love Theatre, The University of Melbourne

Abstract: It is well-known that the group algebra KG is self-injective if and only if G is finite. We will discuss when a semiprime CS group algebra KG of a polycyclic-by-finite group G is a direct sum of integral domains and algebras of global dimension ≤ 1 and what is its structure? Is this group algebra a direct sum of matrix rings over KN , where N< D_\infty analogous to known results for prime rings ? We wil also give results on continuous semilocal group algebra KG of a nilpotent group G. Finally, we will briefly talk of self-injective generalized group algebra L^1(G, A) of a locally compact group G over a Banach algebra A with identity.

For More Information: contact: Craig Westerland. email: c.westerland@ms.unimelb.edu.au