Generalized Cuntz algebras associated with subfactors

TL;DR

This paper explores new generalized Cuntz algebras linked to subfactors, examining their symmetry, duality, and a key Hilbert space of invariants, expanding the understanding of algebraic structures in operator theory.

Contribution

It introduces novel generalized Cuntz algebras associated with subfactors and discusses their characteristic invariants related to generalized symmetry.

Findings

New generalized Cuntz algebras associated with subfactors

Identification of a characteristic Hilbert space of invariants

Insights into symmetry and duality in these algebras

Abstract

Various generalizations of Cuntz algebras and their relations to symmetry and duality are reviewed. New generalized Cuntz algebras are associated with a subfactor. A characteristic Hilbert space of basic invariants (with respect to the generalized symmetry) within these algebras is discussed.