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$K$-Theoretic Comparison of Roe and Quasi-Local Algebras via Projections

Li, Kang et al.
arXiv (OAI Expanded) · Papers
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operator-algebras
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, or at least have the same $K$-theory. In this paper, we focus on a \emph{sparse} metric space $X$. We prove the follow
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