Voigt, C. and Yuncken, R. (2015) Equivariant Fredholm modules for the full quantum flag manifold of SUq(3). Documenta Mathematica, 20, pp. 433-490.
|
Text
106208.pdf - Published Version 589kB |
Publisher's URL: https://www.math.uni-bielefeld.de/documenta/vol-20/12.html
Abstract
We introduce C∗-algebras associated to the foliation structure of a quantum flag manifold. We use these to construct SLq(3, C)-equivariant Fredholm modules for the full quantum flag manifold Xq = SUq(3)/T of SUq(3), based on an analytical version of the Bernstein-Gelfand-Gelfand complex. As a consequence we deduce that the flag manifold Xq satisfies Poincar´e duality in equivariant KK-theory. Moreover, we show that the Baum-Connes conjecture with trivial coefficients holds for the discrete quantum group dual to SUq(3).
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Voigt, Professor Christian |
Authors: | Voigt, C., and Yuncken, R. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Documenta Mathematica |
Publisher: | Deutsche Mathematiker Vereinigung |
ISSN: | 1431-0635 |
ISSN (Online): | 1431-0643 |
Copyright Holders: | Copyright © 2015 Deutsche Mathematiker Vereinigung |
First Published: | First published in Documenta Mathematica 20:433-490 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher. |
Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record