Finitely generated weakly monotone C*-algebra

2024/02/29 by Griseta, Maria Elena, Wysoczański, Janusz
#46K10 #46L05 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2402.19081

Abstract

We consider the C^*-algebra generated by finitely many annihilation operators acting on the weakly monotone Fock space, and we call it weakly monotone C^*-algebra. We give an abstract representation for this algebra, showing that it is isomorphic to a suitable quotient of a Cuntz-Krieger C^*-algebra O_A corresponding to a suitable matrix A. Furthermore, we show that the diagonal subalgebra of the weakly monotone C^*-algebra is a MASA and we give the detailed description of its Gelfand spectrum.

Related

• Weighted Cuntz Algebras
• On the monotone C^*-algebra
• C^*-algebras arising from substitutions
• Cuntz-like algebras
• Monotone operator functions on C^*-algebra