Index
affine function , 2 3
algebra, 7
approximately finit e (AF ) C*-algebra ,
C*-algebra, 5
C*-algebraic envelope , 11
canonical system , 10
CAR C'-algebra , 13
GICAR C*-algebra , 13
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 , 10
Brown, 28 , 54 , 5 9
Bunce, 6 6
canonical
homomorphism, 9
system, 10
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, 15
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, 11
ordered group , 15
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, 17
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, 15
proper, 2 8
strictly positive, 28
infinitesimal element , 2 3
Krieger, 1, 3 8
79
Previous Page Next Page