A Cantor spectrum diagonal in O_2

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arxiv 2409.03511 v2 pith:IEPJDOBY submitted 2024-09-05 math.OA

Philipp Sibbel , Wilhelm Winter This is my paper · ORCID

classification math.OA

keywords cantordiagonalspectrumalgebracuntzexistencehomeomorphicprove

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We prove the existence of a C*-diagonal in the Cuntz algebra O_2 with spectrum homeomorphic to the Cantor space.

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Functoriality and Weyl Groupoids of Ample C*-Diagonal Pairs
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The paper initiates a functorial study by constructing induced partial morphisms on Weyl groupoids from morphisms of ample C*-diagonal pairs and proves applications including tensor product identification and subaddit...
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The CAR algebra admits countably many pairwise non-conjugate C*-diagonals with Cantor spectrum, distinguished by diagonal dimension, including non-AF examples.