Nets of graded $C^{\ast }$-algebras over partially ordered sets

S. A. Grigoryan, E. V. Lipacheva, A. S. Sitdikov

The paper deals with $C^{\ast }$-algebras generated by a net of Hilbert spaces over a partially ordered set. The family of those algebras constitutes a net of $C^{\ast }$-algebras over the sam…