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- W1655995229 abstract "We consider a condition for non-degenerate commuting squares of matrix algebras (finite dimensional von Neumann algebras) called the emph{span condition}, which in the case of the $n$-dimensional standard spin models is shown to be satisfied if and only if $n$ is prime. We prove that the commuting squares satisfying the span condition are isolated among all commuting squares (modulo isomorphisms). In particular, they are finiteley many for any fixed dimension. Also, we give a conceptual proof of previous constructions of certain one-parameter families of biunitaries." @default.
- W1655995229 created "2016-06-24" @default.
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- W1655995229 date "2004-04-16" @default.
- W1655995229 modified "2023-09-27" @default.
- W1655995229 title "A finiteness result for commuting squares of matrix algebras" @default.
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