# Details of talk

Title | The injective Leavitt complex |
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Presenter | Huanhuan Li (University of Western Sydney) |

Author(s) | Dr Huanhuan Li |

Session | Algebra |

Time | 16:30:00 2016-12-05 |

Abstract | For a finite quiver Q without sinks, we consider the corresponding finite dimensional algebra A with radical square zero. We construct an explicit compact generator for the homotopy category of acyclic complexes of injective A-modules. We call such a generator the injective Leavitt complex of Q. This terminology is justified by the following result: the differential graded endomorphism algebra of the injective Leavitt complex of Q is quasi-isomorphic to the Leavitt path algebra of Q. Here, the Leavitt path algebra is naturally Z-graded and viewed as a differential graded algebra with trivial differential. |