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Cartan Subalgebras of Dimension Drop Interval Algebras and Their Inductive Limits
We describe the conjugacy of non-degenerate Cartan subalgebras of the dimension drop interval algebras $M_m(\widetilde{\mathbb I}_p)$ in terms of double cosets of permutation groups, and describe their spectra by finite bi-partite multigraphs. All Cartan subalgebras are non-degenerate precisely when
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