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Almost finitedimensional Calgebras
Ideals in AFCalgebras
2 other sections not shown
algebraic Brouwerian lattice algebraic lattice ascending sequence augmented poset augmented poset associated bijection Bratteli diagram Bratteli's C*-algebra with identity closed two-sided ideals co-primes cofinal cofinal filter colimit commutative compact element countable basis define Definition degJ dimensional subalgebras distributive lattice eMinJ FC*-morphisms Fell's lemma finite distributive subsemilattice finite predecessor condition finite set finite subset finite-dimensional C*-algebras finite-dimensional subalgebras function functor given Hausdorff hence Hilbert space hull-kernel topology Id(P ideal spectrum ideal theory implies inclusion injective irreducible lattice isomorphism M(Z+ matrix category matrix units maximal element Mini morphisms natural numbers open sets orthogonal partially ordered set Pr(P prime ideals primitive projection Proof Proposition quasicompact sets quasicompact spectral space resp semilattice separable AFC*-algebras simple SpecP spectral theory spliced statements are equivalent sup-semilattice Theorem trivial unique up-directed family whence xr\P zero