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  • triple norm closed algebra

    Rights statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-019-1839-9

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The norm closed triple semigroup algebra

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>1/03/2019
<mark>Journal</mark>Israel Journal of Mathematics
Issue number2
Volume230
Number of pages40
Pages (from-to)855–894
Publication statusPublished
Early online date17/01/19
Original languageEnglish

Abstract

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.

Bibliographic note

The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-019-1839-9