One noncommutative differential calculus coming from the inner derivation

Details One noncommutative differential calculus coming from the inner derivation One noncommutative differential calculus coming from the inner derivation

2006-11-20

arxiv.org/abs/math/0611600v1

Mathematics

Operator Algebras

Scientific paper

We define a noncommutative differential calculus constructed from the inner
derivation, then several relevant examples are showed. It is of interest to
note that for certain $C^*$-algebra, this calculus is closely related to the
classical one when the algebra associates a deformation parameter.

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