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examples of K-theory groups

$A$	$K_{0}(A)$	$K_{1}(A)$
$\mathbb{C}$	$\mathbb{Z}$	0
$\mathord{\mathrm{M}_{n}(\mathbb{C})}$	$\mathbb{Z}$	0
$\mathbb{H}$	$\mathbb{Z}$	0
$\mathbb{K}$	$\mathbb{Z}$	0
$\mathbb{B}$	0	0
$\mathbb{B}/\mathbb{K}$	0	$\mathbb{Z}$
$C_{0}((0,1))$	0	$\mathbb{Z}$
$C_{0}(\mathbb{R}^{2n})$	$\mathbb{Z}$	0
$C_{0}(\mathbb{R}^{2n+1})$	0	$\mathbb{Z}$
$C([0,1])$	$\mathbb{Z}$	0
$C(\mathbb{T}^{n})$	$\mathbb{Z}^{2^{n-1}}$	$\mathbb{Z}^{2^{n-1}}$
$C(\mathbb{S}^{2n})$	$\mathbb{Z}^{2}$	0
$C(\mathbb{S}^{2n+1})$	$\mathbb{Z}$	$\mathbb{Z}$
$C(\mathbb{C}\mathrm{P}^{n})$	$\mathbb{Z}^{n+1}$	0
$\mathcal{O}_{n}$	$\mathbb{Z}/(n-1)$	0
$A_{\theta}$	$\mathbb{Z}^{2}$	$\mathbb{Z}^{2}$
$C^{*}(H_{3})$	$\mathbb{Z}^{3}$	$\mathbb{Z}^{3}$

Topological K-theory of some common $C^{*}$ -algebras.

Title	examples of K-theory groups
Canonical name	ExamplesOfKtheoryGroups
Date of creation	2013-03-22 13:28:44
Last modified on	2013-03-22 13:28:44
Owner	mhale (572)
Last modified by	mhale (572)
Numerical id	8
Author	mhale (572)
Entry type	Example
Classification	msc 19K99
Classification	msc 19L99