Homology, Homotopy and Applications
Volume 14 (2012)
Scissors congruence as $K$-theory
Pages: 181 – 202
Scissors congruence groups have traditionally been expressed algebraically in terms of group homology. We give an alternate construction of these groups by producing them as the 0-level in the algebraic $K$-theory of a Waldhausen category.
scissors congruence, K-theory, Waldhausen category
2010 Mathematics Subject Classification
13D15, 18D05, 18F25, 19Dxx