Alistair Miller

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math.OA2026

Functoriality of real crossed product K-theory spectral sequences with respect to group homomorphisms

Jeffrey L. Boersema, Sarah L. Browne, Elizabeth Gillaspy +1

Spectral sequences are a key tool for computing the K-theory of a crossed product C $^{*}$ -algebra. However, the impact of a group homomorphism $Ω : G \to H$ on such a spectral se…

math.OA2026

Invariant measures and traces on groupoid $C^{*}$ -algebras

Alistair Miller, Eduardo Scarparo

We provide sufficient conditions for the existence of a trace on the essential $C^{*}$ -algebra of a (not necessarily Hausdorff) étale groupoid $G$ which extends an invari…

math.OA2024

Homology and K-theory for self-similar actions of groups and groupoids

Alistair Miller, Benjamin Steinberg

Nekrashevych associated to each self-similar group action an ample groupoid and a $C^{*}$ -algebra. We perform complete computations of the homology of the groupoid and th…

Functoriality of real crossed product K-theory spectral sequences with respect to group homomorphisms

Invariant measures and traces on groupoid C∗-algebras

Homology and K-theory for self-similar actions of groups and groupoids

Invariant measures and traces on groupoid $C^{*}$ -algebras