Operator algebra seminar

Speaker: Bartosz Kwasniewski, SDU Odense

Title: Purely infinite crossed products by endomorphisms of C_0(X)-algebras

Abstract: We introduce a class of endomorphisms α of C_0(X)-algebras A which involve a convenient combination of noncommutative and topological dynamics. We discuss  sufficient conditions for  the ideal property and pure infiniteness of crossed products  C*(A,α, J) associated to (A,α) and an ideal J in A. The results  allow one to constitute  a large class of crossed products C*(A,α, J) which undergo Kirchberg's classification   via ideal system equivariant  KK-theory and whose ideal lattice can be completely described in terms of (A,α) and J.