Commutants of weighted shift directed graph operator algebras
Files in This Item:
|KLP_PAMS_Jan26_2017_unofficial.pdf||198.69 kB||Adobe PDF||Download|
|Title:||Commutants of weighted shift directed graph operator algebras||Authors:||Kribs, David W.
Levene, Rupert H.
Power, Stephen C.
|Permanent link:||http://hdl.handle.net/10197/9348||Date:||Aug-2017||Online since:||2018-04-25T16:46:05Z||Abstract:||We consider non-selfadjoint operator algebras L(G, λ) generated by weighted creation operators on the Fock-Hilbert spaces of countable directed graphs G. These algebras may be viewed as noncommutative generalizations of weighted Bergman space algebras, or as weighted versions of the free semigroupoid algebras of directed graphs. A complete description of the commutant is obtained together with broad conditions that ensure the double commutant property. It is also shown that the double commutant property may fail for L(G, λ) in the case of the single vertex graph with two edges and a suitable choice of left weight function λ.||Type of material:||Journal Article||Publisher:||American Mathematical Society||Journal:||Proceedings of the American Mathematical Society||Volume:||145||Issue:||8||Start page:||3465||End page:||3480||Copyright (published version):||2017 American Mathematical Society||Keywords:||Directed graph; Weighted shift; Non-selfadjoint algebra; Commutant; Left regular representation; Creation operators; Fock space||DOI:||10.1090/proc/13477||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
Show full item record
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.