SPLIT EXTENSIONS AND KK-EQUIVALENCES FOR QUANTUM PROJECTIVE SPACES

Speaker(s)

FRANCESCA ARICI

Affiliation

Universiteit Leiden

Date

Nov. 10, 2021, 5:15 p.m.

Information about the event

zoom

Seminar

North Atlantic Noncommutative Geometry Seminar

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In this talk, I will describe a construction of an explicit KK-equivalence between the noncommutative C*-algebras of continuous functions on the Vaksman-Soibelman quantum complex projective spaces and their commutative counterparts. The construction relies on general results about KK-equivalences, and amounts to showing that quantum complex projective spaces of different dimensions fit into a split exact sequence of C*-algebras. For our construction of a splitting, we use the graph-algebraic picture of the quantum complex projective spaces due to Hong and Szymański. Based on joint work with Sophie Emma Mikkelsen (SDU Odense).

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