# Index pairings for pullbacks of C*-algebras

Ludwik Dąbrowski; Tom Hadfield; Piotr M. Hajac; Rainer Matthes; Elmar Wagner

Banach Center Publications (2012)

- Volume: 98, Issue: 1, page 67-84
- ISSN: 0137-6934

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topLudwik Dąbrowski, et al. "Index pairings for pullbacks of C*-algebras." Banach Center Publications 98.1 (2012): 67-84. <http://eudml.org/doc/282412>.

@article{LudwikDąbrowski2012,

abstract = {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.},

author = {Ludwik Dąbrowski, Tom Hadfield, Piotr M. Hajac, Rainer Matthes, Elmar Wagner},

journal = {Banach Center Publications},

keywords = {-theory; -algebra; non-reduced suspensions; quantum spheres; noncommutative instantons; projection},

language = {eng},

number = {1},

pages = {67-84},

title = {Index pairings for pullbacks of C*-algebras},

url = {http://eudml.org/doc/282412},

volume = {98},

year = {2012},

}

TY - JOUR

AU - Ludwik Dąbrowski

AU - Tom Hadfield

AU - Piotr M. Hajac

AU - Rainer Matthes

AU - Elmar Wagner

TI - Index pairings for pullbacks of C*-algebras

JO - Banach Center Publications

PY - 2012

VL - 98

IS - 1

SP - 67

EP - 84

AB - 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.

LA - eng

KW - -theory; -algebra; non-reduced suspensions; quantum spheres; noncommutative instantons; projection

UR - http://eudml.org/doc/282412

ER -

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