A construction of split exact sequences for amplified graph C*-algebras with sinks yields explicit KK-equivalences to C^N for a broad class including the quantum Grassmannian Gr_q(2,4) and an equivalence between CP^1 and CP_q^1.
H., and Szyma ´nski, W.Quantum spheres and projective spaces as graph algebras.Com- munications in Mathematical Physics 232, 1 (Dec 2002), 157–188
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On split exact sequences and KK-equivalences of amplified graph C*-algebras
A construction of split exact sequences for amplified graph C*-algebras with sinks yields explicit KK-equivalences to C^N for a broad class including the quantum Grassmannian Gr_q(2,4) and an equivalence between CP^1 and CP_q^1.