Localization techniques in Leavitt path algebras

Người báo cáo: Prof. Phạm Ngọc Ánh (Alfréd Rényi Institute of Mathematics)

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.

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Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)