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Groupoids of AF Algebras

Student: Kogan Fedor

Supervisor: Alexei Yu. Pirkovskii

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Master)

Year of Graduation: 2017

We show how to associate to a unital AF-algebra a locally compact etale groupoid, so that the convolution algebra of the groupoid is isomorphic to the initial algebra. This is done by considering a certain equivalence relation on the Bratteli diagram of the algebra.

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