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Subjects
46-XX Functional analysis
46Lxx Selfadjoint operator algebras ( $C^{*}$ -algebras, von Neumann ( $W^{*}$ -) algebras, etc.)
46L87 Noncommutative differential geometry

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Index pairings for pullbacks of C*-algebras

Ludwik Dąbrowski, Tom Hadfield, Piotr M. Hajac, Rainer Matthes, Elmar Wagner (2012)

Banach Center Publications

In this overview, we study how to reduce the index pairing for a fibre-product C*-algebra to the index pairing for the C*-algebra over which the fibre product is taken. As an example we analyze the case of suspensions and apply it to noncommutative instanton bundles of arbitrary charges over the suspension of quantum deformations of the 3-sphere.

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