Sophie Emma Mikkelsen. Split extensions and KK-equivalences for quantum projective spaces.
This talk will take place in the blue seminar room, back building, Žitná 25, and on Zoom.
In this talk, I will present an explicit KK-equivalence between the noncommutative -algebra of continuous functions on the Vaksman–Soibelman quantum complex projective space and the commutative algebra . The KK-equivalence is constructed by finding an explicit splitting for the short exact sequence of -algebras . In the construction of the splitting it is crucial that can be described as a graph -algebra due to Hong and Szymański.
This talk is based on joint work with Francesca Arici.