학술논문

Aspects of noncommutative geometry of Bunce-Deddens algebras
Document Type
Report
Source
Journal of Noncommutative Geometry. December, 2023, Vol. 17 Issue 4, p1391, 33 p.
Subject
United States
Language
English
ISSN
1661-6952
Abstract
We define and study smooth subalgebras of Bunce--Deddens C*-algebras. We discuss various aspects of noncommutative geometry of Bunce--Deddens algebras including derivations on smooth subalgebras, as well as K-theory and K-homology. 2020 Mathematics Subject Classification. Primary 46L80; Secondary 46L89, 47L40. Keywords. Bunce--Deddens algebra, smooth subaglebras, derivations, K-theory.
1. Introduction 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 [...]