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Article overview
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K-theory for the Banach algebra of bounded operators on the Banach space $C[0,omega_1]$ | Tomasz Kania
; Piotr Koszmider
; Niels Jakob Laustsen
; | Date: |
11 Mar 2013 | Abstract: | Denote by $[0,omega_1]$ the compact Hausdorff space consisting of all
ordinals not exceeding the first uncountable ordinal $omega_1$, equipped with
the order topology. We show that the $K$-groups of the Banach algebra
$mathscr{B}(C[0,omega_1])$ of bounded operators on the Banach space
$C[0,omega_1]$ of complex-valued, continuous functions on $[0,omega_1]$ are
given by $K_0(mathscr{B}(C[0,omega_1]))congmathbb{Z}$ and
$K_1(mathscr{B}(C[0,omega_1])) = {0}$. | Source: | arXiv, 1303.2606 | Services: | Forum | Review | PDF | Favorites |
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