Correspondences and index

Details Correspondences and index Correspondences and index

2005-07-04

arxiv.org/abs/math/0507060v2

Mathematics

K-Theory and Homology

20 pages, 3 figures, final version

Scientific paper

We define certain class of correspondences of polarized representations of
$C^*$-algebras. Our correspondences are modeled on the spaces of boundary
values of elliptic operators on bordisms joining two manifolds. In this setup
we define the index. The main subject of the paper is the additivity of the
index.

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