Rights statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-019-1839-9
Accepted author manuscript, 457 KB, PDF document
Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
<mark>Journal publication date</mark> | 1/03/2019 |
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<mark>Journal</mark> | Israel Journal of Mathematics |
Issue number | 2 |
Volume | 230 |
Number of pages | 40 |
Pages (from-to) | 855–894 |
Publication Status | Published |
Early online date | 17/01/19 |
<mark>Original language</mark> | English |
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.