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K-theory, flat bundles and the Borel classes

Bjørn Jahren — 1999

Fundamenta Mathematicae

Using Hausmann and Vogel's homology sphere bundle interpretation of algebraic K-theory, we construct K-theory invariants by a theory of characteristic classes for flat bundles. It is shown that the Borel classes are detected this way, as well as the rational K-theory of integer group rings of finite groups.

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