Showing posts with label Alain Connes. Show all posts
Showing posts with label Alain Connes. Show all posts

"The basis for noncommutative geometry is the possibility of adapting most of the classical tools, such as Radon measures, K-theory, cohomology, etc., necessary for the study of a compact space, Y, to the case where C*-Algebra A=C(Y) is replaced by a noncommutative C*-Algebra." - Alain Connes

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"The basis for noncommutative geometry is the possibility of adapting most of the classical tools, such as Radon measures, K-theory, cohomology, etc., necessary for the study of a compact space, Y, to the case where C*-Algebra A=C(Y) is replaced by a noncommutative C*-Algebra." - Alain Connes
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"The dimension of a Fredholm module is measured by the size of its differentials." - Alain Connes

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"The dimension of a Fredholm module is measured by the size of its differentials." - Alain Connes
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