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Results tagged with oa.operator-algebras
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user 49280
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
1
vote
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147
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On linear functionals with the trace property that aren't positive
Suppose $A$ is a C*-algebra and $\phi:A \to \mathbb{C}$ is a bounded linear functional satisfying $\phi(ab) = \phi(ba)$ (I call this the trace property). How far is $\phi$ from being a (positive) trac …
- 101
5
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Topological K-theory for commutative C*-algebras
Using the Chern Character you can solve the problem up to torsion.
For a CW complex X we have $K_0(C(X)) \otimes \mathbb{Q} \cong \bigoplus_n H_{2n}(X; \mathbb{Q})$ and $K_1(C(X)) \otimes \mathbb{Q} …
- 101