2021/09/07 by A. Yu. Pirkovskii, Pirkovskii, A. Yu.
Mathematics · #16E10 #46A45 #46H99 #46M18 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Corollary #FOS: Mathematics #Functional Analysis (math.FA) #Jordan algebra #Mathematics #Operator Algebras (math.OA) #Pure mathematics #Rings and Algebras (math.RA) #Toeplitz matrix #math.FA #math.OA #math.RA #msc:16E10 #msc:46A45 #msc:46H99 #msc:46M18
paper · pdf · doi:10.48550/arxiv.2109.03352
16 pages
arxiv created 2021/09/07 · openalex publication_date 2021/09/07 · arxiv updated 2021/09/09 · openalex created_date 2021/09/13 · openalex updated_date 2026/08/06
We introduce a family of dense subalgebras of the Toeplitz algebra and give conditions under which our algebras are quasi-free. As a corollary, we show that the smooth Toeplitz algebra introduced by Cuntz is quasi-free.