2001/06/07 by Samuel Walters, S. Walters, Walters, S.
Mathematics · #46L35 #46L40 #46L80 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L35 #msc:46L40 #msc:46L80
paper · pdf · doi:10.48550/arxiv.math/0106053
20 pages
arxiv created 2001/06/07 · openalex publication_date 2001/06/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For all transcendental parameters, the irrational rotation algebra is shown to contain infinitely many C*-subalgebras satisfying the following properties. Each subalgebra is isomorphic to a direct sum of two matrix algebras of the same (perfect square) dimension; the Fourier transform maps each summand onto the other; the corresponding unit projection is approximately central; the compressions of the canonical generators of the irrational rotation algebra are approximately contained in the subalgebra.