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Representations of finite groups and Cuntz-Krieger algebras

Representations of finite groups and Cuntz-Krieger algebras

We investigate the structure of the C *-algebras 𝒪 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 𝒪 A of a …