Index affine function , 2 3 algebra, 7 approximately finit e (AF ) C*-algebra , C*-algebra, 5 C*-algebraic envelope , 1 1 canonical system , 1 0 CAR C'-algebra , 1 3 GICAR C*-algebra , 1 3 locally semisimple , 7 matroid C*-algebra , 5 , 27 , 5 0 multimatrix, 7 semisimple, 7 UHF C*-algebra, 5 , 5 0 unital, 7 unital extension , 11,1 2 von Neumann , 4 algebraic numbe r theory , 37 , 4 2 asymptotic directio n set , 3 3 Atiyah-Singer Inde x Theorem , 1 , 5 Blackadar, 16 , 2 8 Bohr, 4 Bott Periodicit y Theorem , 59-60 , 7 0 Bratteli, 5 , 10 , 6 0 Bratteli diagram , 1 0 Brown, 28 , 54 , 5 9 Bunce, 6 6 canonical homomorphism, 9 system, 1 0 Choi, 6 1 Choquet, 2 4 cone, 15 , 5 5 Connes, 1 , 5 , 6 6 continued fraction , 3 4 contraction, 43 , 5 3 Cuntz, 6 6 Deddens, 6 6 density theore m (4.4) , 2 5 difference equations , 3 3 dimension functio n o n projection s general algebra s (KQ theory), 5 , 5 4 locally semisimpl e algebras , 4 7 dimension group , 10 , 1 5 ideal, 2 2 5^ u o f locall y semisimpl e algebra , 4 7 order unit , 2 2 prime, 2 8 rank 1 , 28 , 5 0 representation, 2 2 scale, 4 3 simple, 2 2 state, 2 2 unital, 4 3 direct limi t algebra, 7 C*-algebra, 1 1 ordered group , 1 5 set, 6 telescoping, 6 Dixmier, 5 , 27 , 50 , 6 0 Elliott, 1 , 5 , 10 , 48 , 57 , 5 9 face, 2 2 Fack, 1 Fuchs, 16 , 1 7 generalized natura l number , 2 8 Glimm, 5 , 27 , 5 0 Goodearl, 2 3 Hales, 9 Handelman, 23 , 4 1 Hilbert space , 3 homomorphism (algebra) , 7 automorphic equivalence , 7 canonical, 9 inner equivalence , 7 unital, 7 homomorphism (group ) contraction, 4 3 positive, 1 5 proper, 2 8 strictly positive, 28 infinitesimal element , 2 3 Krieger, 1 , 3 8 79
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