On the Toeplitz-Jacobson algebra and direct finiteness
Rings and Algebras
2016-03-02 v1 Representation Theory
Abstract
We study the representation theory of the algebraic Toeplitz algebra , give a few new structure and homological theorems, completely determine one-sided ideals and survey and re-obtain results from the existing literature as well. We discuss its connection to Kaplansky's direct finiteness conjecture, and a possible approach to it based on the module theory of . In addition, we discuss the conjecture's connections to several central problems in mathematics, including Connes' embedding conjecture.
Cite
@article{arxiv.1603.00109,
title = {On the Toeplitz-Jacobson algebra and direct finiteness},
author = {Miodrag C Iovanov and Alexander Sistko},
journal= {arXiv preprint arXiv:1603.00109},
year = {2016}
}