C*-diagonals with Cantor spectrum in Cuntz algebras
Abstract
We prove that there exists a C*-diagonal with Cantor spectrum in the Cuntz algebra Ok for 2 k < ∞. Our method generalises to an uncountable family of UCT Kirchberg algebras with distinct K-theory. Moreover, we construct principal \'etale groupoid models for these Cuntz algebras and UCT Kirchberg algebras.
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