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Isomorphism of Matrix Algebras over Cuntz Algebras
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Isomorphism of Matrix Algebras over Cuntz Algebras
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Isomorphism of Matrix Algebras over Cuntz Algebras
Isomorphism of Matrix Algebras over Cuntz Algebras
Journal Article

Isomorphism of Matrix Algebras over Cuntz Algebras

2025
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Overview
Starting with a Cuntz algebra O n 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 n . It is surprising to find that if k divides n , the resulting C * -algebra of matrix is isomorphic to the Cuntz algebra n . 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 .
Publisher
EDP Sciences
Subject