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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

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Does the global dimension gldim R equal the projective dimension of R as bimodule over its e...

I know that generally the answer is no, for example the weyl algebra。 But is this true for commutative algebra? or we may restrict to affine commutative algebras。 Maybe ,it is a classical result. So …
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