| Autor: |
Robertson, Guyan, Steger, Tim |
| Rok vydání: |
2013 |
| Předmět: |
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| Zdroj: |
J. Operator Theory 36 (1996), 317--334 |
| Druh dokumentu: |
Working Paper |
| Popis: |
An $\widetilde A_2$ group $\Gamma$ acts simply transitively on the vertices of an affine building $\triangle$. We study certain subgroups $\Gamma_0 \cong {\Bbb Z}^2$ which act on certain apartments of $\triangle$. If one of these subgroups acts simply transitively on an apartment, then the corresponding subalgebra of the group von Neumann algebra is maximal abelian and singular. Moreover the Puk\'anszky invariant contains a type $I_{\infty}$ summand. |
| Databáze: |
arXiv |
| Externí odkaz: |
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