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math.MG2009
Spaces of nonpositive curvature arising from a finite algebra
Cristian Conde, Gabriel Larotonda
In this paper we introduce a family of examples that can be regarded as spaces of nonpositive curvature, but with the distinct quality that they are not complete as metric spaces.…
math.MG2009
Homogeneous manifolds from noncommutative measure spaces
Esteban Andruchow, Eduardo Chiumiento, Gabriel Larotonda
Let M be a finite von Neumann algebra with a faithful trace . In this paper we study metric geometry of homogeneous spaces O of the unitary group U of M, endowed with a Finsler…