Structure theorems for families of idempotents

• Date: 1998
• Main Authors: Kruhlyak, S. A., Samoilenko, Yu. S., Кругляк, С. А., Самойленко, Ю. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4922
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For *-algebras generated by idempotents and orthoprojectors, we study the complexity of the problem of description of *-representations to within unitary equivalence. In particular, we prove that the *-algebra generated by two orthogonal idempotents is *-wild as well as the *-algebra generated by th...