A¹-homotopy invariants of corner skew Laurent polynomial algebras
Name
1603.09737.pdf
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239.81 KB
Format
Adobe PDF
Checksum (MD5)
eaba7068334fac7778a50714ae7a456e
Author(s)
Trigo Neri Tabuada, Goncalo Jorge
Date Issued
December 2017
Journal
Journal of Noncommutative Geometry
Publisher
European Mathematical Publishing House
Citation
Tabuada, Gonçalo. “$A¹-homotopy invariants of corner skew Laurent polynomial algebras.” Journal of Noncommutative Geometry 11, no. 4 (December 15, 2017): 1627–1643.
Version
Original manuscript
Abstract
In this note we prove some structural properties of all the A1-homotopy invariants of corner skew Laurent polynomial algebras. As an application, we compute the mod-l algebraic K-theory of Leavitt path algebras using solely the kernel/cokernel of the incidence matrix. This leads naturally to some vanishing and divisibility properties of the K-theory of these algebras.
Subjects
Corner skew Laurent polynomial algebra, Leavitt path algebra, algebraic K-theory, noncommutative mixed motives, noncommutative algebraic geometry
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4171/JNCG/11-4-12
