Structure theorems for families of idempotents

  • S. A. Kruhlyak
  • Yu. S. Samoilenko Iн-т математики НАН України, Київ

Abstract

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 three orthoprojectors, two of which are orthogonal.
Published
25.04.1998
How to Cite
KruhlyakS. A., and SamoilenkoY. S. “Structure Theorems for Families of Idempotents”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 4, Apr. 1998, pp. 523–533, https://umj.imath.kiev.ua/index.php/umj/article/view/4922.
Section
Research articles