An abstract characterization of weakly monotone C*-algebras, namely the concrete C*-algebras generated by creators and annihilators acting on the so-called weakly monotone Fock spaces, is given in terms of (quotients of) suitable Exel–Laca algebras. The weakly monotone -algebra indexed by is shown to be a type-I C*-algebra and its representation theory is entirely determined, whereas the weakly monotone -algebra indexed by is shown not to be of type I.
Weakly-monotone C*-algebras as Exel–Laca algebras
Vitonofrio Crismale
;Simone Del Vecchio;Stefano Rossi;
2024-01-01
Abstract
An abstract characterization of weakly monotone C*-algebras, namely the concrete C*-algebras generated by creators and annihilators acting on the so-called weakly monotone Fock spaces, is given in terms of (quotients of) suitable Exel–Laca algebras. The weakly monotone -algebra indexed by is shown to be a type-I C*-algebra and its representation theory is entirely determined, whereas the weakly monotone -algebra indexed by is shown not to be of type I.File in questo prodotto:
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