E. Andruchow

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5 papers · 1 filter

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

Projective space of a C*-module

E. Andruchow, G. Corach, D. Stojanoff

Let X be a right Hilbert C*-module over A. We study the geometry and the topology of the projective space P(X) of X, consisting of the orthocomplemented submodules of X which are g…

math.OA1999

Projective spaces of a C*-algebra

E. Andruchow, G. Corach, D. Stojanoff

Based on the projective matrix spaces studied by B. Schwarz and A. Zaks, we study the notion of projective space associated to a C*-algebra A with a fixed projection p. The resulti…

math.OA1999

Geometry of oblique projections

E. Andruchow, G. Corach, D. Stojanoff

Let A be a unital C*-algebra. Denote by P the space of selfadjoint projections of A. We study the relationship between P and the spaces of projections P_a determined by the differe…

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^…