# An equivariant pushout structure of the Vaksman-Soibelman quantum odd spheres

## GAP Seminar

## Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon, Kendra Stauffer, Matthew Peddie.

**Speaker:** Piotr M. Hajac, IMPAN

**Abstract:** Presenting the C*-algebras C(S^2n+1_q) and C(B^2n_q) of the Vaksman-Soibelman quantum (2n+1)-sphere and the Hong-Szymanski quantum 2n-ball as graph C*-algebras, we unravel a U(1)-equivariant pullback structure of the former. As a main application, we prove that the generators of the even K-group of the quantum complex projective space CP^n_q are given by the Milnor connecting homomorphism applied to the (unique up to sign) generator of K_1(C(S^2n-1_q)) and by the generators of K_0(C(CP^n-1_q)). (Joint work with Francesco D'Andrea and Mariusz Tobolski.)

## Room Reservation Information

**Room Number:** 320 Whitmore

**Date:** 02/06/2018

**Time:** 2:30pm - 3:30pm