Version 2 2023-09-26, 23:59Version 2 2023-09-26, 23:59
Version 1 2021-12-08, 18:52Version 1 2021-12-08, 18:52
thesis
posted on 2021-12-08, 18:52authored byDawson, Ellis
We investigate strongly graded C*-algebras. We focus on graph C*-algebras and explore the connection between graph C*-algebras and Leavitt path algebras, both of which are $\Z$-graded. It is known that a graphical condition called \emph{Condition (Y)} is necessary and sufficient for Leavitt path algebras to be strongly graded. In this thesis we prove this can be translated to the graph C*-algebra and prove that a graph C*-algebra associated to a row-finite graph is strongly graded if and only if Condition (Y) holds.