Homology of a Leavitt Path Algebra via Anick's Resolution
Viktor Lopatkin
TL;DR
This paper computes the homology of Leavitt path algebras using Anick's resolution and finds that all positive degree homology groups are trivial.
Contribution
It introduces a method to calculate homology of Leavitt path algebras and proves their positive degree homology vanishes.
Findings
All positive degree homology groups are zero.
Homology can be computed explicitly using Anick's resolution.
Abstract
The aim of this paper is to calculate the homology of a Leavitt path algebra via Anick's resolution. We show that all homology (in positive degrees) of a Leavitt path algebra is equal to zero.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology