TL;DR
This paper interprets noncommutative geometry as a functor mapping to operator algebras, providing examples and outlining a research program to explore this perspective.
Contribution
It introduces a novel functorial framework for noncommutative geometry, connecting it with operator algebras in a systematic way.
Findings
Examples illustrating the functorial approach
A proposed research program for further exploration
New insights into the structure of noncommutative geometry
Abstract
In this note the noncommutative geometry is interpreted as a functor, whose range is a family of the operator algebras. Some examples are given and a program is sketched.
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