EQUIVARIANT ISOMORPHISMS OF QUANTUM LENS SPACES

Since their inception two decades ago, the quantum lens spaces of Hong and Szymański have been studied very successfully, due in no small part to the fact — established from the outset — that they are graph C*-algebras. Every quantum lens space comes with a natural circle action, leading to an equivariant isomorphism problem that I will introduce here, and solve in low-dimensional cases. Due to the subtle complication that full corners of graph C*-algebras are not always equivariantly isomorphic to graph C*-algebras themselves, this problem falls just outside of existing technology necessitating ad hoc methods and making it abundantly clear that it is much more subtle than in the non-equivariant case. All presented work is joint with Sophie Emma Zegers.