Perturbation semigroup of matrix algebras

Published 22 Oct 2014 in math-ph and math.MP | (1410.5961v1)

Abstract: In this article we analyze the structure of the semigroup of inner perturbations in noncommutative geometry. This perturbation semigroup is associated to a unital associative *-algebra and extends the group of unitary elements of this *-algebra. We compute the perturbation semigroup for all matrix algebras.

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