The Transformation Algebras of Bernstein Graph Algebras

摘要

In this chapter we present a decomposition of the subalgebra T(G) of Hom(A(G)) generated by {id.4(GI} U {LtL,: A(G) -?A(G), t ? A(G)}, where G is a graph, A(G) is the Bernstein graph algebra of G, id.,^., is the identity function on A(G) and Lt is the left (= right) multiplication by t. If G is a simple connected graph, without loop and |V(Cr)| > 2, then we present a characterization of T(G).