G. Corach · wovepaper

activity

19992025

most citedOblique projections and Schur complements

57 citations · 104 across the 22 of their papers we have counts for

collaborators

26 papers

The Riemann sphere of a C*-algebra

Esteban Andruchow, Gustavo Corach, Lázaro Recht +1

Given the unital C $^{*}$ -algebra $A$ , the unitary orbit of the projector $p_{0} = (1000)$ in the C $^{*}$ -algebra $M_{2} (A)$ of $2 \times 2$ matrices with…

Symmetries and reflections from composition operators in the disk

Esteban Andruchow, Gustavo Corach, Lázaro Recht

We study the composition operators $C_{a}$ acting on the Hardy space $H^{2}$ of the unit disk, given by $C_{a} f = f \circ φ_{a}$ , where $φ_{a} (z) = \frac{a - z}{1 - a ˉ z},$ for $∣ a ∣ < 1$ . These…

A non commutative Kähler structure on the Poincaré disk of a C*-algebra

Esteban Andruchow, Gustavo Corach, Lázaro Recht

We study the Poincaré disk $\d=\{z\in\a: \|z\|<1\}$ of a C $^{*}$ -algebra $\a$ as a homogeneous space under the action of an appropriate Banach-Lie group $(˘ θ)$ of $2 \times 2$ matric…

math.OA2018★ 1 cited

Projective geometry in the Poincaré disk of a $C^{*}$ -algebra

Esteban Andruchow, Gustavo Corach, Lázaro Recht

We study the Poincaré disk $D = {a \in A : ∥ a ∥ < 1}$ of a C $^{*}$ -algebra $A$ from a projective point of view: $D$ is regarded as an open subset of the proj…

Projections with fixed difference: a Hopf-Rinow theorem

Esteban Andruchow, Gustavo Corach, Lázaro Recht

The set $D_{A_{0}}$ , of pairs of orthogonal projections $(P, Q)$ in generic position with fixed difference $P - Q = A_{0}$ , is shown to be a homogeneus smooth manifold: it is the quotient o…

math.OA2017★ 2 cited

Poncaré half-space of a C*-algebra

Esteban Andruchow, Gustavo Corach, Lázaro Recht

Let $A$ be a C$*^$-algebra. Given a representation $A \subset B (L)$ in a Hilbert space $L$ , the set $G^{+} \subset A$ of positive invertible elements can be thought as the set of inner…