Bures isometries between density spaces of C*-algebras and some related maps


Detalles de Evento


Título: Bures isometries between density spaces of C*-algebras and some related maps
Conferenciante: Lajos Molnar (Bolyai Institute, University of Szeged, Hungary)
Resumen: Thompson part metric is a metric on positive definite cones in $\mathbb{C}^*$-algebras which is of fundamental importance for several reasons. In this talk we first present a former result of ours with O. Hatori in which we determined the structure of the corresponding surjective isometries. After that we apply this result to the seemingly unrelated problem of the description of Bures isometries of density spaces of $\mathbb{C}^*$-algebras which problem is motivated by the mathematical foundations of quantum theory.
Fecha: 26 de abril de 2018, 11:00 - 12:00
Lugar: Seminario 1, IEMath-GR