Coarse indices of twisted operators

2016/06/03 by Wulff, Christopher · 1 citation
#19K35 #19K56 #58J22 #FOS: Mathematics #Geometric Topology (math.GT) #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1606.01297

Abstract

Several formulas for computing coarse indices of twisted Dirac type operators are introduced. One type of such formulas is by composition product in E-theory. The other type is by module multiplications in K-theory, which also yields an index theoretic interpretation of the duality between Roe algebra and stable Higson corona.

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• The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature

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