Event Title
A noncommutative Bishop-de Leeuw theorem
Location
Crow 206
Start Date
7-22-2016 3:00 PM
End Date
22-7-2016 3:20 PM
Description
The Bishop-de Leeuw theorem asserts the equivalence of various sort of peaking phenomena for function spaces in $C(X)$. We discuss a noncommutative version of this theorem for an operator system $S$ in $B(H)$ in terms of either the representations of $C*(S)$ or of $C^*_e(S)$. Under certain conditions on $S$, $C^*(S)$, or $C^*_e(S)$, we exhibit connections between Choquet points and noncommutative peak points.
A noncommutative Bishop-de Leeuw theorem
Crow 206
The Bishop-de Leeuw theorem asserts the equivalence of various sort of peaking phenomena for function spaces in $C(X)$. We discuss a noncommutative version of this theorem for an operator system $S$ in $B(H)$ in terms of either the representations of $C*(S)$ or of $C^*_e(S)$. Under certain conditions on $S$, $C^*(S)$, or $C^*_e(S)$, we exhibit connections between Choquet points and noncommutative peak points.