Representations of finite groups and Cuntz-Krieger algebras

Authors

M Mann, University of New South Wales
Iain Raeburn, University of WollongongFollow
C Sutherland, University of New South Wales

RIS ID

19125

Publication Details

Mann, M. H., Raeburn, I. & Sutherland, C. E. (1992). Representations of finite groups and Cuntz-Krieger algebras. Bulletin of the Australian Mathematical Society, 46 (2), 225-243.

Abstract

We investigate the structure of the C*-algebras (9_ρ constructed by Doplicher and Roberts from the intertwining operators between the tensor powers of a representation ρ of a compact group. We show that each Doplicher-Roberts algebra is isomorphic to a corner in the Cuntz-Krieger algebra (9_A of a {0,1}-matrix A = A_ρ associated to ρ. When the group is finite, we can then use Cuntz's calculation of the K-theory of (9_A to compute K_*((9_ρ).