Amalgamated products of étale groupoids 

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• Christian Bönicke (Newcastle University)
• Thursday 03 July 2025, 16:30-17:00
• External.

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TGAW01 - Crossed products and groupoid C*-algebras

Free products and amalgamated products are coproducts in the context of discrete groups. As exhibited by Bass-Serre theory, they play a central role in the structure theory of discrete groups and the geometric approach to group theory. In this talk I will explain how to generalise these constructions to the setting of étale groupoids by constructing the amalgamated product of two étale groupoids over a common subgroupoid. I will then discuss approximation properties and the reduced groupoid C*-algebra of an amalgamated product of groupoids. This is based on joint work in progress with Max Durrant.

This talk is part of the Isaac Newton Institute Seminar Series series.

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