 

David W. Kribs
Inductive Limit Algebras from Periodic Weighted Shifts on Fock Space


Published: 
October 13, 2002

Keywords: 
Hilbert space, operator, weighted shift, noncommutative multivariable operator theory, Fock space, creation operators, CuntzToeplitz C*algebras, Ktheory. 
Subject: 
46L05, 46L35, 47B37, 47L40. 


Abstract
Noncommutative multivariable versions of weighted shift operators arise
naturally as 'weighted' left creation
operators acting on the Fock space Hilbert space. We identify a natural
notion
of periodicity for these Ntuples, and then find a family of
inductive limit
algebras determined by the periodic
weighted shifts which can be regarded as noncommutative
multivariable generalizations of
the BunceDeddens C*algebras. We establish this by proving that the
C*algebras generated by shifts of a given period are isomorphic to
full matrix algebras over CuntzToeplitz algebras. This leads to
an isomorphism theorem which parallels the BunceDeddens and UHF
classification scheme.


Acknowledgements
Partially supported by a Canadian NSERC Postdoctoral Fellowship.


Author information
Department of Mathematics, Purdue University, West Lafayette, IN 479072068
kribs@math.purdue.edu

