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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2501.13088 |
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| _version_ | 1866915130685521920 |
|---|---|
| author | Gow, Alec |
| author_facet | Gow, Alec |
| contents | A heretofore longstanding open question of Kaplansky was, "Is every Type II_1 AW*-factor a von Neumann algebra?" In this paper, we answer this question in the affirmative. As a consequence, we establish that every 2-quasitrace on a unital C*-algebra is a trace. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Every 2-quasitrace is a trace Gow, Alec Operator Algebras 46L05 (Primary), 46L35 (Secondary) A heretofore longstanding open question of Kaplansky was, "Is every Type II_1 AW*-factor a von Neumann algebra?" In this paper, we answer this question in the affirmative. As a consequence, we establish that every 2-quasitrace on a unital C*-algebra is a trace. |
| title | Every 2-quasitrace is a trace |
| topic | Operator Algebras 46L05 (Primary), 46L35 (Secondary) |
| url | https://arxiv.org/abs/2501.13088 |