# Homology of a Leavitt Path Algebra via Anick's Resolution

@inproceedings{Lopatkin2014HomologyOA, title={Homology of a Leavitt Path Algebra via Anick's Resolution}, author={Viktor Lopatkin}, year={2014} }

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. Introduction Anick’s resolution was obtained by David J. Anick in 1986 [3]. This is a resolution for a field k considered as an A-module, where A is an associative augmented algebra over k. This resolution reflects the combinatorial properties of A because it is based on the Composition–Diamond Lemma [5… CONTINUE READING

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