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.
[27]Yamashita, M.Equivariant comparison of quantum homogeneous spaces.Communications in Math- ematical Physics 317, 3 (Nov 2012), 593–614
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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.