The Graded Classification Conjecture for graph algebras

Abstract: The ordinary (pointed) K_0-group is not a complete invariant of algebras typically associated to a directed graph. When these algebras are considered as graded algebras and the definition of the K_0-group is adjusted to reflect the existence of this grading, the situation becomes more interesting. The Graded Classification Conjecture states that this adjusted version of the (pointed) K_0-group is a complete invariant of a Leavitt path algebra over a field (and this statement can be adapted for other graph algebras). We shall discuss the context in which this conjecture has been formulated, the current status of the conjecture, and some ongoing research.

operator algebrasrings and algebras

Audience: researchers in the topic

Western Sydney University Abend Seminars

Series comments: Description: Western Sydney University Abend Seminars

The Zoom channel is protected. Please write to the organizers to get a password. If you are a student and have no research papers yet, please mention your advisor's name.