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

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.