Proof of Kitaev determinant trivialization conjecture
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909959962230784 |
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| author | Thiang, Guo Chuan |
| author_facet | Thiang, Guo Chuan |
| contents | Using ideas from algebraic $K$-theory, we prove that a simple and naturally applicable criterion of Kitaev suffices to trivialize the Fredholm determinant of a multiplicative commutator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12321 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proof of Kitaev determinant trivialization conjecture Thiang, Guo Chuan Functional Analysis Mesoscale and Nanoscale Physics Mathematical Physics K-Theory and Homology Operator Algebras Using ideas from algebraic $K$-theory, we prove that a simple and naturally applicable criterion of Kitaev suffices to trivialize the Fredholm determinant of a multiplicative commutator. |
| title | Proof of Kitaev determinant trivialization conjecture |
| topic | Functional Analysis Mesoscale and Nanoscale Physics Mathematical Physics K-Theory and Homology Operator Algebras |
| url | https://arxiv.org/abs/2512.12321 |