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math.OA2026
Quantitative decomposition and approximation for quasi-local operators
Jiawen Zhang, Jingming Zhu
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…
math.OA2026
-Theoretic Comparison of Roe and Quasi-Local Algebras via Projections
Kang Li, Jiawen Zhang, Jingming Zhu
A central question in higher index theory and operator algebras is whether the Roe algebra and the quasi-local algebra associated with a metric space of bounded geometry coincide,…