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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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


Authors: Roland Schwänzl and Ross E. Staffeldt
Journal: Trans. Amer. Math. Soc. 347 (1995), 3319-3345
MSC: Primary 19D10; Secondary 19D35
DOI: https://doi.org/10.1090/S0002-9947-1995-1303126-6
MathSciNet review: 1303126
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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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DOI: https://doi.org/10.1090/S0002-9947-1995-1303126-6
Keywords: Abstract algebraic $ K$-theory, generalized free products, approximation theorem
Article copyright: © Copyright 1995 American Mathematical Society