Abstract
We supply an argument that was missing from the proof of the main result of the article “Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory” [7]. The argument is essentially formal, and does not affect the strategy of the proof.
References
[1] G. Carlsson, Bounded K-theory and the assembly map in algebraic K-theory, Novikov conjectures, index theorems and rigidity. Vol. 2 (Oberwolfach 1993), London Math. Soc. Lecture Note Ser. 227, Cambridge University Press, Cambridge (1995), 5–127. 10.1017/CBO9780511629365.004Search in Google Scholar
[2] G. Carlsson, On the algebraic K-theory of infinite product categories, K-Theory 9 (1995), no. 4, 305–322. 10.1007/BF00961467Search in Google Scholar
[3] G. Carlsson and E. K. R. Pedersen, Controlled algebra and the Novikov conjectures for K- and L-theory, Topology 34 (1995), no. 3, 731–758. 10.1016/0040-9383(94)00033-HSearch in Google Scholar
[4] D. R. Grayson, Algebraic K-theory via binary complexes, J. Amer. Math. Soc. 25 (2012), no. 4, 1149–1167. 10.1090/S0894-0347-2012-00743-7Search in Google Scholar
[5] D. Kasprowski and C. Winges, Shortening of binary complexes and commutativity of K-theory with infinite products, preprint (2017), https://arxiv.org/abs/1705.09116. 10.1090/btran/43Search in Google Scholar
[6]
A. Nenashev,
[7] D. A. Ramras, R. Tessera and G. Yu, Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory, J. reine angew. Math. 694 (2014), 129–178. 10.1515/crelle-2012-0112Search in Google Scholar
[8] C. Winges, A note on the L-theory of infinite product categories, Forum Math. 25 (2013), no. 4, 665–676. Search in Google Scholar
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