The structure of KMS weights on étale groupoid C-algebras

We generalise a number of classical results from the theory of KMS states to KMS weights in the setting of C^{*} -dynamical systems arising from a continuous groupoid homomorphism c:\mathcal{G} \to \mathbb{R} on a locally compact second countable Hausdorff étale groupoid \mathcal{G} . In particular,...

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Veröffentlicht in:Journal of noncommutative geometry 2023-01, Vol.17 (2), p.663-691
1. Verfasser: Christensen, Johannes
Format: Artikel
Sprache:eng
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Zusammenfassung:We generalise a number of classical results from the theory of KMS states to KMS weights in the setting of C^{*} -dynamical systems arising from a continuous groupoid homomorphism c:\mathcal{G} \to \mathbb{R} on a locally compact second countable Hausdorff étale groupoid \mathcal{G} . In particular, we generalise Neshveyev's Theorem to KMS weights.
ISSN:1661-6952
1661-6960
DOI:10.4171/jncg/507