Twisted $L^2$-Betti numbers of sofic groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866910366167990272 |
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| author | Boschheidgen, Jan Jaikin-Zapirain, Andrei |
| author_facet | Boschheidgen, Jan Jaikin-Zapirain, Andrei |
| contents | Wolfang Lück asked if twisted $L^2$-Betti numbers of a group are equal to the usual $L^2$-Betti numbers rescaled by the dimension of the twisting representation. We confirm this for sofic groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_03268 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Twisted $L^2$-Betti numbers of sofic groups Boschheidgen, Jan Jaikin-Zapirain, Andrei Group Theory Wolfang Lück asked if twisted $L^2$-Betti numbers of a group are equal to the usual $L^2$-Betti numbers rescaled by the dimension of the twisting representation. We confirm this for sofic groups. |
| title | Twisted $L^2$-Betti numbers of sofic groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2201.03268 |