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PreprintCC0arXiv

Quantitative decomposition and approximation for quasi-local operators

  • Jiawen Zhang
  • Jingming Zhu
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Abstract

We develop a quantitative approach to quasi-local operators with bounded block-rank. Our main results are a quantitative decomposition for quasi-local operators into block-rank-one pieces and a quantitative finite-propagation approximation in the block-rank-one case, leading to a quantitative proof of the bounded block-rank rigidity result for Roe and quasi-local algebras.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026quantitative,
  title = {{Quantitative decomposition and approximation for quasi-local operators}},
  author = {Jiawen Zhang and Jingming Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23004},
  eprint = {2609.23004},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23004},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Quantitative decomposition and approximation for quasi-local operators
AU  - Jiawen Zhang
AU  - Jingming Zhu
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2609.23004
UR  - https://arxiv.org/abs/2609.23004
AB  - We develop a quantitative approach to quasi-local operators with bounded block-rank. Our main results are a quantitative decomposition for quasi-local operators into block-rank-one pieces and a quantitative finite-propagation approximation in the block-rank-one case, leading to a quantitative proof of the bounded block-rank rigidity result for Roe and quasi-local algebras.
ER  -