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Results tagged with oa.operator-algebras
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user 49927
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
16
votes
1
answer
524
views
Equivariant Fredholm operators classify equivariant K-theory
Let $\mathcal{F}$ be the space of Fredholm operators on a separable Hilbert space $H$ with the topology induced by the operator norm.
If $X$ is compact,
Atiyah-Jänich proved that
$$[X,\mathcal{F}]\si …
- 673
6
votes
Equivariant Fredholm operators classify equivariant K-theory
The isomorphism for $K_G^1$ in the question is right.
Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin, Loop groups and twisted K-theory I. J. Topol. 4 (2011), no. 4, 737–798.
Section 3. …
- 673