Mathematics – K-Theory and Homology
Scientific paper
2009-12-31
Mathematics
K-Theory and Homology
27 pages, a proof of the main result added
Scientific paper
We prove that the class of principal coactions is closed under one-surjective pullbacks in an appropriate category of algebras equipped with left and right coactions. This allows us to handle cases of C*-algebras lacking two different non-trivial ideals. As an example, we carry out an index computation for noncommutative line bundles over the standard Podles sphere using the Mayer-Vietoris type arguments afforded by a one-surjective pullback presentation of the C*-algebra of this quantum sphere.
Hajac Piotr M.
Wagner Elmar
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