EQUIVARIANT ISOMORPHISMS OF QUANTUM LENS SPACES

Speaker(s)

SØREN EILERS

Affiliation

Københavns Universitet

Date

Nov. 2, 2022, 5:15 p.m.

Information about the event

405 IMPAN & ZOOM

Seminar

North Atlantic Noncommutative Geometry Seminar

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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.

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