Maximal abelian subalgebras of the group factor of an $\widetilde A_2$ group

An ${\tilde{A}}_{2}$ group $Γ$ acts simply transitively on the vertices of an affine building $△$ . We study certain subgroups $\Gamma_0 \cong {\Bbb Z}^2 $w h i c h a c t o n c e r t a i n a p a r t m e n t s o f$ \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.

Maximal abelian subalgebras of the group factor of an ${\tilde{A}}_{2}$ group

文献摘要

讨论

讲解博客

AI智能校验

Maximal abelian subalgebras of the group factor of an ${\tilde{A}}_{2}$ group

文献摘要

讨论

讲解博客

AI智能校验

Maximal abelian subalgebras of the group factor of an A~2A2​ group

文献摘要

讨论

|讲解博客

|AI智能校验

Maximal abelian subalgebras of the group factor of an A~2A2​ group

文献摘要

讨论

|讲解博客

|AI智能校验

Maximal abelian subalgebras of the group factor of an ${\tilde{A}}_{2}$ group

讲解博客

AI智能校验

Maximal abelian subalgebras of the group factor of an ${\tilde{A}}_{2}$ group

讲解博客

AI智能校验