On possible values of the interior angle between intermediate subalgebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866911345277927424 |
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| author | Gupta, Ved Prakash Sharma, Deepika |
| author_facet | Gupta, Ved Prakash Sharma, Deepika |
| contents | We show that all values in the interval $[0,\fracπ{2}]$ can be attained as the interior angle between intermediate subalgebras (as introduced in [3]) of a certain inclusion of simple unital C*-algebras. We also calculate the interior angle between intermediate crossed product subalgebras of any inclusion of crossed product algebras corresponding to any action of a countable discrete group and its subgroups on a unital C*-algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_07291 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On possible values of the interior angle between intermediate subalgebras Gupta, Ved Prakash Sharma, Deepika Operator Algebras 46L05, 47L40 We show that all values in the interval $[0,\fracπ{2}]$ can be attained as the interior angle between intermediate subalgebras (as introduced in [3]) of a certain inclusion of simple unital C*-algebras. We also calculate the interior angle between intermediate crossed product subalgebras of any inclusion of crossed product algebras corresponding to any action of a countable discrete group and its subgroups on a unital C*-algebra. |
| title | On possible values of the interior angle between intermediate subalgebras |
| topic | Operator Algebras 46L05, 47L40 |
| url | https://arxiv.org/abs/2211.07291 |