Paper-folding models for the CAR algebra

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• Grigorios Kopsacheilis (Westfalische Wilhelms-Universitat Munster)
• Thursday 03 July 2025, 11:00-11:20
• External.

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TGAW01 - Crossed products and groupoid C*-algebras

In this talk we discuss the structure of C*-diagonals (in the sense of Kumjian) that appear in the CAR algebra. We present a construction of a free minimal action on the Cantor space based on the so-called paper-folding sequence, that gives rise to a Cantor spectrum diagonal that is not conjugate to a standard AF diagonal. This allows us to see that in fact the CAR algebra admits countably many pairwise non-conjugate Cantor spectrum diagonals, distinguished by their diagonal dimension (as introduced by Li, Liao and Winter in 2023). This is joint work with Wilhelm Winter.

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

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