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# Smooth Approximation of Lipschitz Projections

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Published:2011-05-17
Printed: Dec 2012
• Hanfeng Li,
Department of Mathematics, SUNY at Buffalo, Buffalo, NY 14260-2900, USA
 Format: LaTeX MathJax PDF

## Abstract

We show that any Lipschitz projection-valued function $p$ on a connected closed Riemannian manifold can be approximated uniformly by smooth projection-valued functions $q$ with Lipschitz constant close to that of $p$. This answers a question of Rieffel.
 Keywords: approximation, Lipschitz constant, projection
 MSC Classifications: 19K14 - $K_0$ as an ordered group, traces

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