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examples of K-theory groups
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(Example)
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| $A$ |
$K_0(A)$ |
$K_1(A)$ |
| $\Cset$ |
$\Zset$ |
0 |
| $\Matrix{n}{\Cset}$ |
$\Zset$ |
0 |
| $\Hset$ |
$\Zset$ |
0 |
| $\Kset$ |
$\Zset$ |
0 |
| $\Bset$ |
0 |
0 |
| $\Bset/\Kset$ |
0 |
$\Zset$ |
| $C_0((0,1))$ |
0 |
$\Zset$ |
| $C_0(\Rset^{2n})$ |
$\Zset$ |
0 |
| $C_0(\Rset^{2n+1})$ |
0 |
$\Zset$ |
| $C([0,1])$ |
$\Zset$ |
0 |
| $C(\Tset^n)$ |
$\Zset^{2^{n-1}}$ |
$\Zset^{2^{n-1}}$ |
| $C(\Sset^{2n})$ |
$\Zset^2$ |
0 |
| $C(\Sset^{2n+1})$ |
$\Zset$ |
$\Zset$ |
| $C(\Cset\mathrm{P}^n)$ |
$\Zset^{n+1}$ |
0 |
| $\mathcal{O}_n$ |
$\Zset/(n-1)$ |
0 |
| $A_\theta$ |
$\Zset^2$ |
$\Zset^2$ |
| $C^*(H_3)$ |
$\Zset^3$ |
$\Zset^3$ |
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"examples of K-theory groups" is owned by mhale.
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(view preamble | get metadata)
Cross-references: Topological K-theory
This is version 5 of examples of K-theory groups, born on 2003-02-22, modified 2003-12-20.
Object id is 4049, canonical name is ExamplesOfKTheoryGroups.
Accessed 3178 times total.
Classification:
| AMS MSC: | 19K99 ($K$-theory :: $K$-theory and operator algebras :: Miscellaneous) | | | 19L99 ($K$-theory :: Topological $K$-theory :: Miscellaneous) |
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Pending Errata and Addenda
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