Differential and integral forms on non-commutative algebras

Abstract

These lectures describe an algebraic approach to differentiation and integration that is characteristic for non-commutative geometry. The material contained in Section 2 is standard and can be found in any text on non-commutative geometry, for example [4]. Items 5 and 6, which describe concepts introduced in [3], are exceptions. The bulk of Section 3 is based on [1] and [3], while the Berezin integral example is taken from [2].