Spilt Extensions and KK-Equivalences for Quantum Projective Spaces

Explore quantum projective spaces through a comprehensive lecture on split extensions and KK-equivalences. Delve into topics such as quantum homogeneous spaces, graph algebras, gauge actions, and complex projective lines. Examine the intricacies of KK Theory, KK-equivalences, and the UCT class. Investigate splitting homomorphisms, canonical maps, and the construction of KK equivalences. Learn about the UCT and its implications in this advanced mathematical discourse presented by Francesca Arici from Universiteit Leiden, Holland.

Introduction
Quantum homogeneous spaces
Graph algebras
Gauge action
Graph algebra
Graph system algebra
Ideal structure
Complex projective lines
KK Theory
KKequivalences
UCT class
KK Equivalences
Splitting homomorphism
Canonical maps
Splitting
Proof
Construction
KK equivalence
What happens to a key
Francesco Lewis
UCT