Noncommutative Chern form on \'etale groupoid is closed

TL;DR

This paper proves algebraically that the Chern form on the convolution algebra of an étale groupoid is closed, contributing to the understanding of geometric structures in noncommutative geometry.

Contribution

It provides a new algebraic proof that the Chern form on étale groupoid convolution algebra is closed, using bisection techniques.

Findings

Chern form on étale groupoid convolution algebra is closed

Algebraic proof using bisection methods

Enhances understanding of noncommutative geometric structures

Abstract

We use bisection to provide an algebraic proof that the Chern form on the convolution algebra of an \'etale groupoid is closed.