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math.OA2013★ 8 cited
Representing Kirchberg algebras as inverse semigroup crossed products
Ruy Exel, Enrique Pardo
In this note we show that a combinatorial model of Kirchberg algebras in the UCT, namely the Katsura algebras O_{AB}, can be expressed both as groupoid C*-algebras and as inverse s…
math.OA2013
Invertibility in groupoid C*-algebras
Ruy Exel
Given a second-countable, Hausdorff, étale, amenable groupoid G with compact unit space, we show that an element a in C*(G) is invertible if and only if λ_x(a) is invertible for ev…