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Hopfian $ell$-groups, MV-algebras and AF C$^*$-algebras

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 نشر من قبل Daniele Mundici
 تاريخ النشر 2015
  مجال البحث
والبحث باللغة English
 تأليف Daniele Mundici




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An algebra is said to be hopfian if it is not isomorphic to a proper quotient of itself. We describe several classes of hopfian and of non-hopfian unital lattice-ordered abelian groups and MV-algebras. Using Elliott classification and $K_0$-theory, we apply our results to other related structures, notably the Farey-Stern-Brocot AF C$^*$-algebra and all its primitive quotients, including the Behnke-Leptin C$^*$-algebras $mathcal A_{k,q}$.



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