A secondary index for non-Fredholm operators associated with quantum walks
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929694095441920 |
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| author | Natsume, Toshikazu Nest, Ryszard |
| author_facet | Natsume, Toshikazu Nest, Ryszard |
| contents | We study an analogue of chirality operators associated with quantum walks on the binary tree. For those operators we introduce a K-theoretic invariant, an analogue of the index of Fredholm operators, and compute its values in the ring of di-adic integers |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_13094 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A secondary index for non-Fredholm operators associated with quantum walks Natsume, Toshikazu Nest, Ryszard Operator Algebras (primary)46L80, (secondary)81P45 We study an analogue of chirality operators associated with quantum walks on the binary tree. For those operators we introduce a K-theoretic invariant, an analogue of the index of Fredholm operators, and compute its values in the ring of di-adic integers |
| title | A secondary index for non-Fredholm operators associated with quantum walks |
| topic | Operator Algebras (primary)46L80, (secondary)81P45 |
| url | https://arxiv.org/abs/2310.13094 |