Index pairings for pullbacks of C*-algebras

Ludwik 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 -