Degree Type
Dissertation
Date of Award
2012
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Justin Peters
Abstract
In this thesis, we characterize the Jacobson radical of the semicrossed product of the disk algebra by an endomorphism which is defined by the composition with a finite Blaschke product. Precisely, the Jacobson radical is the set of those whose 0th Fourier coefficient is identically zero and whose kth Fourier coefficient vanishes on the set of recurrent points of a finite Blaschke product. Moreover, if a finite Blaschke product is elliptic, i.e., it has a fixed point in the open unit disc, then the Jacobson radical coincides with the set of quasinilpotent elements.
DOI
https://doi.org/10.31274/etd-180810-557
Copyright Owner
Anchalee Khemphet
Copyright Date
2012
Language
en
Date Available
2012-10-31
File Format
application/pdf
File Size
42 pages
Recommended Citation
Khemphet, Anchalee, "The Jacobson radical of semicrossed products of the disk algebra" (2012). Graduate Theses and Dissertations. 12364.
https://lib.dr.iastate.edu/etd/12364
