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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.03875 |
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| _version_ | 1866909377285324800 |
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| author | Eidesen, Jonas |
| author_facet | Eidesen, Jonas |
| contents | We show that the collection of regular Borel measures on a second-countable locally compact Hausdorff space has the structure of a sheaf. With this we give an alternate description of the pullback of a regular Borel measure along a local homeomorphism. We are able to use these tools to give a description of the KMS-weights for the gauge-action on the graph C*-algebra of a second-countable topological graph in terms of sub-invariant measures on the vertex space of said topological graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03875 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sheaves of Measures and KMS-Weights on Topological Graph Algebras Eidesen, Jonas Operator Algebras We show that the collection of regular Borel measures on a second-countable locally compact Hausdorff space has the structure of a sheaf. With this we give an alternate description of the pullback of a regular Borel measure along a local homeomorphism. We are able to use these tools to give a description of the KMS-weights for the gauge-action on the graph C*-algebra of a second-countable topological graph in terms of sub-invariant measures on the vertex space of said topological graph. |
| title | Sheaves of Measures and KMS-Weights on Topological Graph Algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2310.03875 |