An Example of Bruns--Gubeladze $K$-Theory Defined by Three Dimensional Polytope
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 137
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Classification :
19C09, 19D06, 19M05
Keywords: K-theory, lattice polytope, elementary automorphism, Steinberg group
Keywords: K-theory, lattice polytope, elementary automorphism, Steinberg group
@article{10_2298_PIM150503029P,
author = {Th. Yu. Popelensky},
title = {An {Example} of {Bruns--Gubeladze} $K${-Theory} {Defined} by {Three} {Dimensional} {Polytope}},
journal = {Publications de l'Institut Math\'ematique},
pages = {137 },
year = {2015},
volume = {_N_S_98},
number = {112},
doi = {10.2298/PIM150503029P},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM150503029P/}
}
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Th. Yu. Popelensky. An Example of Bruns--Gubeladze $K$-Theory Defined by Three Dimensional Polytope. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 137 . doi: 10.2298/PIM150503029P
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