Noncommutative geometry is a study of noncomutative algebras from geometrical point of view. The motivation of this approach is Gelfand representation theorem, which shows that every commutative C-algebra is -isomorphic to the space of continuous functions on some locally compact Hausdorff space.
Questions tagged [noncommutative-geometry]
182 questions
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About PhD in non-commutative topology
I am a 3rd year undergraduate student. What are the things that would be good to know if I apply for PhD? I want to do a PhD in non-commuative topology.
I am fascinated by this non-commutative aspect. I have no knowledge of $K$-theory or…
Koushik
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Trouble verifying covariance of differential calculus of the two dimensional quantum plane
I'm looking at page 4 and 5 of https://arxiv.org/pdf/math-ph/0105002.pdf. I am wanting to use (14) and (17) to verify the covariance of (14). But I'm having trouble, in particular, I'm having trouble
proving $\frac{\partial}{\partial X'} Y' = q Y'…
Dave77
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