Esteban Andruchow

most citedHopf-Rinow Theorem in the Sato Grassmannian

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.DG2008

Weak Riemannian manifolds from finite index subfactors

Esteban Andruchow, Gabriel Larotonda

Let $N \subset M$ be a finite Jones' index inclusion of II $_{1}$ factors, and denote by $U_{N} \subset U_{M}$ their unitary groups. In this paper we study the homogeneous space $U_{M} / U_{N}$ ,…

math.DG2008★ 1 cited

Hopf-Rinow Theorem in the Sato Grassmannian

Esteban Andruchow, Gabriel Larotonda

Let $U_{2} (H)$ be the Banach-Lie group of unitary operators in the Hilbert space $H$ which are Hilbert-Schmidt perturbations of the identity 1. In this paper we study t…

math.DG2008

Finsler geometry and actions of the p-Schatten unitary groups

Esteban Andruchow, Gabriel Larotonda, Lazaro Recht

Let $p$ be an even positive integer and $U_{p} (H)$ be the Banach-Lie group of unitary operators $u$ which verify that $u - 1$ belongs to the $p$ -Schatten ideal $B_{p} (H)$ . Let $O$ …

math.DG2008

Nonpositively curved metric in the positive cone of a finite von Neumann algebra

Esteban Andruchow, Gabriel Larotonda

In this paper we study the metric geometry of the space $Σ$ of positive invertible elements of a von Neumann algebra $A$ with a finite, normal and faithful tracial state…

math.OA2008

Connes' metric for states in group algebras

Esteban Andruchow, Gabriel Larotonda

In this article we follow the main idea of A. Connes for the construction of a metric in the state space of a C*-algebra. We focus in the reduced algebra of a discrete group $Γ$ , a…