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math.OA2025
Algebraic singular functions are not always dense in the ideal of -singular functions
Diego Martínez, Nóra Szakács
We give the first examples of étale (non-Hausdorff) groupoids whose -algebras contain singular elements that cannot be approximated by singular elements in $\math…
math.OA2022
Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups
Yeong Chyuan Chung, Diego Martínez, Nóra Szakács
Given any quasi-countable, in particular any countable inverse semigroup , we introduce a way to equip with a proper and right subinvariant extended metric. This generalizes…