| Issue |
ITM Web Conf.
Volume 75, 2025
The Second International Conference on Mathematical Analysis and Its Applications (ICONMAA 2024)
|
|
|---|---|---|
| Article Number | 03002 | |
| Number of page(s) | 7 | |
| Section | Operator Theory | |
| DOI | https://doi.org/10.1051/itmconf/20257503002 | |
| Published online | 21 February 2025 | |
Isomorphism of Matrix Algebras over Cuntz Algebras
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia
* e-mail: afif.humam@itb.ac.id
** e-mail: janny@itb.ac.id
*** e-mail: reinhart.gunadi@gmail.com
**** e-mail: wonosb@itb.ac.id
Starting with a Cuntz algebra On constructed by n isometries, we discuss a C*-algebra consisting of elements of a fixed size k square matrix, where the entries of matrix are from the Cuntz algebra 𝒪n. It is surprising to find that if k divides n, the resulting C*-algebra of matrix is isomorphic to the Cuntz algebra 𝒪n. We extend this result to cases where k is larger than n, showing that the same conclusion holds provided that every prime factor of k divides n.
© The Authors, published by EDP Sciences, 2025
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