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Results tagged with oa.operator-algebras
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user 15690
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
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Unitary Operator as a complex valued function
Consider $a=i\cdot\log(u)$ by Borel functional calculus. $a$ is self-adjoint since $a^{*}=-i\log(u^{*})=-i\log(u^{-1})=i\log(u)$ and $\exp(-ia)=u$.
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Lifting triangles in K-theory to KL-groups
Let $X$ and $Y$ be finite simplicial complexes (or $CW$-complexes) so that $Y\subseteq X$. Let $s\colon C(X)\to C(Y)$ be the map given by restriction. In particular $K_{*}(C(X))$ and $K_{*}(C(Y))$ are …