Publications de l'Institut Mathematique 2015 Volume 98, Issue 112, Pages: 137-145
https://doi.org/10.2298/PIM150503029P
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An example of Bruns-Gubeladze K-theory defined by three dimensional polytope

Popelensky Th.Yu. (Moscow State Lomonosow University, Moscow, Russia)

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: Chebyshev polynomials, envelope, Pisot numbers, Salem numbers