# Geometry and quantization

I know that lots of effort is being put into quantization of geometry(NCG).This effort of course comes with the idea of operator algebra being a powerful machinery. Has any effort been given in the other direction.I mean to make some analogue of geometrical structures in Operator Algebras. This question may be a bit absurd and arises from one of my "RANDOM" thoughts. Precisely I mean "what are the differntial geometry ideas that are applicable in operator algebras"

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