Design a site like this with
Get started

12 April 2022: Sophie Emma Mikkelsen, Syddansk Universitet, Odense.

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 C^*-algebra of continuous functions on the Vaksman–Soibelman quantum complex projective space C(\mathbb{C}P_q^n) and the commutative algebra \mathbb{C}^{n+1}. The KK-equivalence is constructed by finding an explicit splitting for the short exact sequence of C^*-algebras \mathcal{K}\to C(\mathbb{C}P_q^n)\to C(\mathbb{C}P_q^{n-1}). In the construction of the splitting it is crucial that C(\mathbb{C}P_q^n) can be described as a graph C^*-algebra due to Hong and Szymański. 

This talk is based on joint work with Francesca Arici.


Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

%d bloggers like this: