JournalsjncgVol. 10, No. 1pp. 245–264

Perturbation semigroup of matrix algebras

  • Niels Neumann

    Radboud University Nijmegen, Netherlands

  • Walter D. van Suijlekom

    Radboud Universiteit Nijmegen, Netherlands
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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.

Cite this article

Niels Neumann, Walter D. van Suijlekom, Perturbation semigroup of matrix algebras. J. Noncommut. Geom. 10 (2016), no. 1, pp. 245–264

DOI 10.4171/JNCG/233