Krein-space operators determined by free product algebras induced by primes and graphs

Abstract

In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number-theoretic data.

Keywords

• directed graphs
• graph groupoids
• arithmetic functions
• algebras
• free probability
• representations
• krein spaces
• krein-space operators
• 05e15
• 11g15
• 11r04
• 11r09
• 11r47
• 11r56
• 46l10
• 46l40
• 46l53
• 46l54