Homotopy of vector states
Let $B$ be a C$^*$-algebra and $X$ a C$^*$ Hilbert $B$-module. If $pin B$ is a projection, denote by $S_p ={xin X : x,x> =p}$, the $p$-sphere of $X$. For $phi$ a state of $B$ with support $p$ in $B$ and $xin S_p$, consider the state $phi_x$ of $L_B(X)$ given by $phi_x(t)= phi( x,t(x)>)$. In this paper we study certain sets associated to these
Andruchow, Esteban et al.
Fecha de publicación:
8
2000