Isomorphism of Matrix Algebra Over Cuntz Algebra
Afif Humam(a*), Janny Lindiarni(a), Reinhart Gunadi(a), Wono Setya Budhi(a)

Fakultas Matematika dan Ilmu Pengetahuan Alam
Institut Teknologi Bandung,
Bandung 40132, Indonesia
*afif.humam[at]itb.ac.id

Abstract

Starting with a Cuntz algebra -O_n- constructed by -n- isometries, we will discuss a C*-algebra with elements of a square matrix of fixed size -k- and the component of matrix is in Cuntz algebra -O_n-. It is surprising that if -k- divides -n-, it turns out that the C*-algebra is isomorphic to the Cuntz algebra -O_n-.

Keywords: Isometry, Cuntz Algebra, Matrix Operator

Topic: Functional Analysis