Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591150 | Journal of Functional Analysis | 2011 | 32 Pages |
Abstract
We define nonselfadjoint operator algebras with generators Le1,…,Len,Lf1,…,LfmLe1,…,Len,Lf1,…,Lfm subject to the unitary commutation relations of the formLeiLfj=∑k,lui,j,k,lLflLek where u=(ui,j,k,l)u=(ui,j,k,l) is an nm×nmnm×nm unitary matrix. These algebras, which generalise the analytic Toeplitz algebras of rank 2 graphs with a single vertex, are classified up to isometric isomorphism in terms of the matrix u.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Stephen C. Power, Baruch Solel,