Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/95406
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Type: | Journal article |
Title: | T-duality for circle bundles via noncommutative geometry |
Author: | Mathai, V. Rosenberg, J. |
Citation: | Advances in Theoretical and Mathematical Physics, 2014; 18(6):1437-1462 |
Publisher: | International Press of Boston |
Issue Date: | 2014 |
ISSN: | 1095-0761 1095-0753 |
Statement of Responsibility: | Varghese Mathai, Jonathan Rosenberg |
Abstract: | Recently Baraglia showed how topological T-duality can be extended to apply not only to principal circle bundles, but also to non-principal circle bundles. We show that his results can also be recovered via two other methods: the homotopy-theoretic approach of Bunke and Schick, and the noncommutative geometry approach which we previously used for principal torus bundles. This work has several interesting byproducts, including a study of the K-theory of crossed products by Õ(2)=Isom(R), the universal cover of O(2), and some interesting facts about equivariant K-theory for Z/2. In the final section of this paper, some of these results are extended to the case of bundles with singular fibers, or in other words, non-free O(2)-actions. |
Rights: | © 2014 International Press |
DOI: | 10.4310/ATMP.2014.v18.n6.a6 |
Grant ID: | http://purl.org/au-research/grants/arc/DP110100072 |
Published version: | http://dx.doi.org/10.4310/atmp.2014.v18.n6.a6 |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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RA_hdl_95406.pdf Restricted Access | Restricted Access | 1.06 MB | Adobe PDF | View/Open |
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