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4 votes
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134 views

Spin equivariance of the Dirac operator-flat case

One can show that $c$ is $spin(n)$ equivariant. But $c$ is nothing else than the symbol of $D$ and $D$ is constant coefficient operator. … Why this is enough to claim that the operator $D$ itself is $spin(n)$ equivariant? …
10 votes
0 answers
175 views

Baum Connes conjecture and abstract isomorphism

Baum-Connes conjecture states that for a locally compact group $G$ the so called assebly map $\mu$ between $G$-equivariant K-homology of the universal example for proper actions of $G$ and K-theory of …