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Representations Of Finite Groups And Cuntz-Krieger Algebras, M Mann, Iain Raeburn, C Sutherland

Faculty of Engineering and Information Sciences - Papers: Part A

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).