# Aspects of Noncommutative Geometry of Bunce-Deddens Algebras

@inproceedings{Klimek2021AspectsON, title={Aspects of Noncommutative Geometry of Bunce-Deddens Algebras}, author={Sławomir Klimek and Matt McBride and John Wilson Peoples}, year={2021} }

The purpose of this paper is to study noncommutative geometry of Bunce-Deddens (BD) algebras [3], [4] and their natural smooth subalgebras. Our previous, related investigations of BD algebras are contained in [13] and [14] and are mostly concerned with classifications of unbounded derivations. The main objects of study in this paper are smooth subalgebras of Bunce-Deddens algebras. The smooth subalgebras are dense *-subalgebras closed under holomorphic functional calculus and complete in their…

## One Citation

### Noncommutative geometry of the quantum disk

- MathematicsAnnals of Functional Analysis
- 2022

The purpose of this paper is to study a smooth subalgebra T ∞ of the Toeplitz C-algebra, T , an object that captures a smooth structure on the quantum disk [14]. We also study the related algebra K…

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