Huanhuan Li
( School of Mathematical Sciences, Anhui University, Hefei, Chinaathematical Sciences, Anhui University, Hefei, China)
December 2, 2022
Organized by Americas GNCG Seminar.

Graded and filtered K-theory for Leavitt path algebras

We investigate graded K-theory for Leavitt path algebras. There is a tight connection between the algebraic structure of Leavitt path algebras and the positive cone of the graded Grothendieck group of Leavitt path algebras. We found there is a certain quotient of algebraic filtered K-theory which is a graded invariant for Leavitt path algebras. This is a joint work with P. Ara and R. Hazrat.

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