An Example of Bruns--Gubeladze $K$-Theory Defined by Three Dimensional Polytope


Th. Yu. Popelensky




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.