Localization techniques in Leavitt path algebras

Time: 9:30 -- 11: 00, May 06, 2026

Venue: Room 612, A6, Institute of Mathematics-VAST

Abstract: Leavitt (path) algebras are defined by variables and relations, the so-called Cuntz-Krieger relations via the use of extra ghost arrows. I show another construction of Leavitt (path) algebras by localizing the ordinary quiver algebras with respect to the well-defined flat Gabriel topology induced by powers of the ideal generated by all arrows and sinks. This is a "coordinate-free" description, an approach offering new possibilities for further applications of Leavitt path algebras.