An introduction to the Global Glimm Problem
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917147014332416 |
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| author | Vilalta, Eduard |
| author_facet | Vilalta, Eduard |
| contents | The Global Glimm Problem lies at the heart of several open questions regarding regularity properties of C*-algebras. The problem has been open for over two decades, and has recently garnered significant attention due to its strong ties to non-simple versions of well-known dimension reduction phenomena for simple C*-algebras, such as the weakly purely infinite problem and the non-simple Toms-Winter conjecture.
This survey offers a concise introduction to the problem, detailing some of the key concepts and methods used in the partial solutions achieved thus far. Particular emphasis is placed on the implications that a complete resolution of the Global Glimm Problem would have for other open questions in the field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An introduction to the Global Glimm Problem Vilalta, Eduard Operator Algebras 46L05 The Global Glimm Problem lies at the heart of several open questions regarding regularity properties of C*-algebras. The problem has been open for over two decades, and has recently garnered significant attention due to its strong ties to non-simple versions of well-known dimension reduction phenomena for simple C*-algebras, such as the weakly purely infinite problem and the non-simple Toms-Winter conjecture. This survey offers a concise introduction to the problem, detailing some of the key concepts and methods used in the partial solutions achieved thus far. Particular emphasis is placed on the implications that a complete resolution of the Global Glimm Problem would have for other open questions in the field. |
| title | An introduction to the Global Glimm Problem |
| topic | Operator Algebras 46L05 |
| url | https://arxiv.org/abs/2512.13334 |