10 citations · 44 across the 12 of their papers we have counts for
13 papers
Almost Representations of Groupoids on Banach Bundles
Giorgio Trentinaglia
We extend an old result of de la Harpe and Karoubi, concerning almost representations of compact groups, to proper groupoids admitting continuous Haar measure systems. As an applic…
The Adjoint Representation of a Higher Lie Groupoid
Giorgio Trentinaglia
We extend the standard construction of the adjoint representation of a Lie groupoid to the case of an arbitrary higher Lie groupoid. As for a Lie groupoid, the adjoint representati…
Proper Cartan Groupoids: Reduction to the Regular Case
Giorgio Trentinaglia
We discuss a method for constructing multiplicative connections on proper Lie groupoids or, more exactly, for reducing the task of constructing such connections to a number of in p…
Higher Vector Bundles
Matias del Hoyo, Giorgio Trentinaglia
We introduce higher analogs for cleavages in the context of (Kan) simplicial fibrations. We apply them to obtain geometric models for representations up to homotopy of (higher) Lie…
Some remarks on representations up to homotopy
Giorgio Trentinaglia, Chenchang Zhu
Motivated by the study of the interrelation between functorial and algebraic quantum field theory, we point out that on any locally trivial bundle of compact groups, representation…
Regular Cartan groupoids and longitudinal representations
Giorgio Trentinaglia
With the intent of laying the groundwork for a program that aims at explicitly describing the space of Cartan (i.e. multiplicative) connections on a general proper Lie groupoid, we…