A¹-homotopy invariants of corner skew Laurent polynomial algebras

Author(s)
Trigo Neri Tabuada, Goncalo Jorge
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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.
Date issued
2017-12
URI
http://hdl.handle.net/1721.1/116424
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1661-6952
Keywords
Corner skew Laurent polynomial algebra, Leavitt path algebra, algebraic K-theory, noncommutative mixed motives, noncommutative algebraic geometry
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