Abstract
We study a recently developed generalization of algebraic K-theory which has a balanced polytope as a parameter. The corresponding Steinberg group for the quadrangular pyramid is studied and K-groups are calculated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. J. Berrick, An Approach to Algebraic K-theory, Pitman, London (1982).
A. J. Berrick and M. E. Keating, “The K-theory of triangular matrix rings,” Contemp. Math., 55, 69–74 (1986).
W. Bruns and J. Gubeladze, “Polyhedral K 2 ,” Manuscripta Math., 109, 367–404 (2002).
W. Bruns and J. Gubeladze, “Higher polyhedral K-groups,” J. Pure Appl. Algebra, 184, 175–228 (2003).
A. I. Nemytov and Yu. P. Solovyov, “BN-pairs and Hermitian K-theory,” in: Algebra. Collection of papers dedicated to 90th birthday of O.Yu. Schmidt, MSU, Moscow, 102–118 (1982).
A. I. Nemytov and Yu. P. Solovyov, “Homotopy multiplication in classifying space of Hermitian K-theory,” Dokl. Math., 258, No. 1, 30–34 (1982).
A. A. Suslin, “On the equivalence of K-theories,” Commun. Algebra, 9, No. 15, 1559–1566 (1981).
L.N. Vaserstein, “Foundations of algebraic K-theory,” Russ. Math. Surv., 31, No. 4, 89–156 (1976)
J. B. Wagoner, “Equivalence of algebraic K-theories,” J. Pure Appl. Algebra, 11, 245–264 (1977).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 51, Topology, 2013.
Rights and permissions
About this article
Cite this article
Popelensky, T.Y., Prikhodko, M.V. Bruns–Gubeladze K-Groups for Quadrangular Pyramid. J Math Sci 214, 718–727 (2016). https://doi.org/10.1007/s10958-016-2808-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-016-2808-z