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arxiv: 1608.01699 · v2 · pith:EY37DN6Anew · submitted 2016-08-04 · 🧮 math.OA · math.AT· math.FA· math.KT

Elliptic regularity for Dirac operators on families of noncompact manifolds

classification 🧮 math.OA math.ATmath.FAmath.KT
keywords diracoperatorsellipticfamiliesmanifoldsnoncompactregularityalgebras
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We develop elliptic regularity theory for Dirac operators in a very general framework: we consider Dirac operators linear over $C^*$-algebras, on noncompact manifolds, and in families which are not necessarily locally trivial fibre bundles.

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