A. Varela

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math.OA2000

Homotopy of vector states

Esteban Andruchow, Alejandro Varela

Let $B$ be a C $^{*}$ -algebra and $X$ a C $^{*}$ Hilbert $B$ -module. If $p \in B$ is a projection, denote by $S_{p} = {x \in X :< x, x >= p}$ , the $p$ -sphere of $X$ . For $ϕ$ a state of $B$ w…

math.OA1999

Homotopy of state orbits

E. Andruchow, A. Varela

Let M be a von Neumann algebra, f a faithful normal state and denote by M^f the fixed point algebra of the modular group of f. Let U_M and U_{M^f} be the unitary groups of M and M^…