On the monotone $C^*$-algebra
Operator Algebras
2022-07-06 v1
Abstract
The concrete monotone -algebra, that is the (unital) -algebra generated by monotone independent algebraic random variables of Bernoulli type, is characterized abstractly in terms of generators and relations and is shown to be UHF. Moreover, its Bratteli diagram is explicitly given, which allows for the computation of its -theory.
Keywords
Cite
@article{arxiv.2207.01999,
title = {On the monotone $C^*$-algebra},
author = {Vitonofrio Crismale and Simone Del Vecchio and Stefano Rossi},
journal= {arXiv preprint arXiv:2207.01999},
year = {2022}
}
Comments
10 pages