\(C^*\)-algebra generated by four projections with sum equal to 2

• Datum: 2018
• 1. Verfasser: Savchuk, Yuri
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: matrix-functions; projections; finitely generated \(C^*\)-algebras; 46L05; 47L50
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1004
• Назва журналу: Algebra and Discrete Mathematics

We describe the \(C^*\)-algebra generated by four orthogonal projections \(p_1, p_2, p_3, p_4\), satisfying the linear relation \(p_1+p_2+p_3+p_4=2I\). The simplest realization by \(2\times 2\)-matrix-functions over the sphere \(S^2\) is given.