The approximation theorem and the 𝐾-theory of generalized free products

Schwänzl, Roland; Staffeldt, Ross E.

doi:10.1090/S0002-9947-1995-1303126-6

The approximation theorem and the $K$-theory of generalized free products
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by Roland Schwänzl and Ross E. Staffeldt PDF

Trans. Amer. Math. Soc. 347 (1995), 3319-3345 Request permission

Abstract:

We use methods of abstract algebraic $K$-theory as developed by Friedhelm Waldhausen to give a new derivation of the decomposition theorem for the algebraic $K$-theory of a generalized free product ring. The result takes the form of a fibration sequence which relates the algebraic $K$-theory of such a ring with the algebraic $K$-theory of its factors, plus a Nil-term.

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Stable algebraic

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Algebraic

-theory of spaces