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I just want to know whether the two six term exact sequences in E-theory is true for nonseparable C*-algebras. We know already if the first varible is complex number, then we get six term exact sequence in K-theory, which is true for any (nonseparable) C*-algebra. I expect that one varible can be nonseparable.

Thanks.

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If $A$ satisfies the UCT (iff E-equivalent to an abelian C*-algebra) and has finitely generated K- thery, then the functor $E_G(A,-)$ will commutes with colimits. I think for such $A$ six-term exact sequences is true for nonseparable C*-algebras in second variable. –  m07kl Sep 13 '11 at 12:18
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