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arXiv · 2310.13094

A secondary index for non-Fredholm operators associated with quantum walks

Toshikazu Natsume·Ryszard Nest
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Abstract

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

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Toshikazu Natsume, Ryszard Nest. 2023-10-19. A secondary index for non-Fredholm operators associated with quantum walks. https://arxiv.org/abs/2310.13094

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