On the monotone C*-algebra

The concrete monotone C*-algebra, that is the (unital) C*- 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 K-theory.& COPY; 2022 Elsevier Inc. All rights reserved.

Automated summary

This paper characterizes the concrete monotone C*-algebra in terms of generators and relations and shows that it is UHF. It also provides an explicit Bratteli diagram for this algebra, which can be used to compute its K-theory.