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Aaron Kettner (Czech Academy of Sciences)
2024-12-04 20:00 - 21:00 UTC | https://researchseminars.org/talk/NYC-NCG/182/
Title: Cuntz–Pimsner algebras of twisted partial automorphisms (https://researchseminars.org/talk/NYC-NCG/182/)
by Aaron Kettner (Czech Academy of Sciences) as part of Noncommutative geometry in NYC

Abstract
We will discuss how to construct a $C^*$-algebra from a vector bundle
and a partial action of the integers on the base space of the bundle,
using the machinery of Cuntz–Pimsner algebras. Despite being much more
general, the resulting algebras share many properties with partial
crossed products by the integers. They also generalise the
$C^*$-algebras constructed from homeomorphisms twisted by vector bundles
recently introduced by
Adamo–Archey–Forough–Georgescu–Jeong–Strung–Viola. Under natural
conditions on the action and the space, classifiability of the
$C^*$-algebras is shown. In particular, we obtain both stably finite as
well as purely infinite classifiable $C^*$-algebras from the same
dynamical framework.
