$L^p$ coarse Baum–Connes conjecture and $K$-theory for $L^p$ Roe algebras

نویسندگان

چکیده

In this paper, we verify the $L^p$ coarse Baum–Connes conjecture for spaces with finite asymptotic dimension $p\in\[1,\infty)$. We also show that $K$-theory of Roe algebras is independent $p\in(1,\infty)$ dimension.

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ژورنال

عنوان ژورنال: Journal of Noncommutative Geometry

سال: 2021

ISSN: ['1661-6960', '1661-6952']

DOI: https://doi.org/10.4171/jncg/435