Compact group Rohlin actions and $G$-kernels on von Neumann algebras
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918330059718656 |
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| author | Nishihara, Takumi |
| author_facet | Nishihara, Takumi |
| contents | We provide a new construction of a topological group model for the string group of a compact, simple, and simply-connected Lie group, by solving the obstruction realization problem for compact group $G$-kernels on full factors. Furthermore, we introduce the Rohlin property for actions and cocycle actions of compact groups in order to establish cohomology vanishing theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22941 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Compact group Rohlin actions and $G$-kernels on von Neumann algebras Nishihara, Takumi Operator Algebras Primary 46L40, Secondary 46L55, 20J06 We provide a new construction of a topological group model for the string group of a compact, simple, and simply-connected Lie group, by solving the obstruction realization problem for compact group $G$-kernels on full factors. Furthermore, we introduce the Rohlin property for actions and cocycle actions of compact groups in order to establish cohomology vanishing theorems. |
| title | Compact group Rohlin actions and $G$-kernels on von Neumann algebras |
| topic | Operator Algebras Primary 46L40, Secondary 46L55, 20J06 |
| url | https://arxiv.org/abs/2601.22941 |