Cartan subalgebras in W*-algebras
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914729519218688 |
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| author | Renault, Jean |
| author_facet | Renault, Jean |
| contents | This article presents a proof of the Feldman-Moore theorem on Cartan subalgebras in W*-algebras based on the non-commutative Stone equivalence between Boolean inverse semigroups and Boolean groupoids. The proof is decomposed into two parts. The first part writes the W*-algebra as the W*-algebra of the Weyl twist of the Cartan subalgebra. The second part is an extension to separable measure inverse semigroups of the realization of a separable measure algebra by a standard measure space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cartan subalgebras in W*-algebras Renault, Jean Operator Algebras 37D35 This article presents a proof of the Feldman-Moore theorem on Cartan subalgebras in W*-algebras based on the non-commutative Stone equivalence between Boolean inverse semigroups and Boolean groupoids. The proof is decomposed into two parts. The first part writes the W*-algebra as the W*-algebra of the Weyl twist of the Cartan subalgebra. The second part is an extension to separable measure inverse semigroups of the realization of a separable measure algebra by a standard measure space. |
| title | Cartan subalgebras in W*-algebras |
| topic | Operator Algebras 37D35 |
| url | https://arxiv.org/abs/2403.17621 |