EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 98(112), pp. 137–145 (2015)

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One example of Bruns–Gubeladze $K$-theory defined by three dimensional polytope

Th. Yu. Popelensky

Moscow State Lomonosow University, Moscow, Russia

Abstract: For the Bruns–Gubeladze polytopal $K$-theory, we describe a new series of three dimensional balanced Col-divisible polytopes. Also we calculate the corresponding elementary groups and as a corollary obtain an expression of the polytopal $K$-groups in terms of the Quillen $K$-groups.

Keywords: K-theory; lattice polytope; elementary automorphism; Steinberg group

Classification (MSC2000): 19C09; 19D06; 19M05

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Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.

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