The norm closed triple semigroup algebra

Kastis, E. (2019) The norm closed triple semigroup algebra. Israel Journal of Mathematics, 230 (2). 855–894. ISSN 0021-2172

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The w*-closed triple semigroup algebra was introduced by Power and the author in [21], where it was proved to be reflexive and to be chiral, in the sense of not being unitarily equivalent to its adjoint algebra. Here an analogous operator norm-closed triple semigroup algebra AphG+ is considered and shown to be a triple semi-crossed product for the action on analytic almost periodic functions by the semigroups of one-sided translations and one-sided dilations. The structure of isometric automorphisms of AphG+ is determined and AphG+ is shown to be chiral with respect to isometric isomorphisms.

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Journal Article
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Israel Journal of Mathematics
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08 Mar 2019 09:25
Last Modified:
27 Oct 2023 15:05