Inclusions of real rank zero
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866915473261592576 |
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| author | Gabe, James Neagu, Robert |
| author_facet | Gabe, James Neagu, Robert |
| contents | We introduce a notion of real rank zero for inclusions of C$^*$-algebras. After showing that our definition has many equivalent characterisations, we offer a complete description of the commutative case. We provide permanence and K-theoretic properties of inclusions of real rank zero and prove that a large class of full infinite inclusions have real rank zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03622 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Inclusions of real rank zero Gabe, James Neagu, Robert Operator Algebras 46L05, 46L35 We introduce a notion of real rank zero for inclusions of C$^*$-algebras. After showing that our definition has many equivalent characterisations, we offer a complete description of the commutative case. We provide permanence and K-theoretic properties of inclusions of real rank zero and prove that a large class of full infinite inclusions have real rank zero. |
| title | Inclusions of real rank zero |
| topic | Operator Algebras 46L05, 46L35 |
| url | https://arxiv.org/abs/2312.03622 |