On the magic square C*-algebra of size 4
Abstract:
In this paper, we investigate the structure of the magic square C*-algebra 𝐴(4) of size 4. We show that a certain twisted crossed product of 𝐴(4) is isomorphic to the homogeneous C*-algebra 𝑀4 (𝐶 ($\mathbb{R}$𝑃$^3$)). Using this result, we show that 𝐴(4) is isomorphic to the fixed point algebra of 𝑀4 (𝐶 ($\mathbb{R}$𝑃$^3$)) by a certain action. From this concrete realization of 𝐴(4), we compute the K-groups of 𝐴(4) and their generators.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2022 |
| Sprache | Englisch |
| Identifikator | ISSN: 1259-1734, 2118-7436 KITopen-ID: 1000151915 |
| Erschienen in | Annales Mathematiques Blaise Pascal |
| Verlag | Laboratoire de Mathématiques Blaise Pascal (LMBP) |
| Band | 29 |
| Heft | 1 |
| Seiten | 99-148 |
| Schlagwörter | C*-algebra, magic square C*-algebra, twisted crossed product, K-theory |
| Nachgewiesen in | Scopus OpenAlex |
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