Index
action, 15, 5 1
proper, 5 9
adding a hea d t o a source , 18
adding a tai l t o a sink , 18
adjacency matrix , 6
adjoint able operator , 7 2
AF-algebra, 2 0
aperiodicity condition , 9 4
approximately finite-dimensional, 2 0
bootstrap class , 3 4
Bratteli diagram , 2 0
of a n AF-algebra , 2 0
breaking vertex , 4 7
Bunce-Deddens algebra , 9 7
C*-algebra o f a directe d graph , 13
O*-algebra o f a /e-graph , 9 3
C*-algebra o f a topologica l graph , 7 9
C*-correspondence, 7 2
category, 8 9
circle group , 15
coaction, 5 2
coaction identity , 5 2
coassociative, 5 2
Coburn's theorem , 12, 2 3
codomain o f a morphism , 8 9
cofinal, 3 3
collapsible path , 4 2
compact operato r o n a Hilber t module , 7 2
composition o f morphisms , 8 9
comultiplication, 5 2
Condition (K) , 3 5
Condition (L) , 2 3
for a topologica l graph , 8 1
connected directe d graph , 5 6
continuity o f i\-theory , 6 3
core, 2 5
corner, 19
correspondence, 7 2
graph, 7 2
covariant representatio n
for a coaction , 5 3
for a n action , 5 1
covering, 5 6
crossed produc t
for a coaction , 5 4
for a n action , 5 1
reduced, 5 1
Cuntz algebra , 2 3
infinite, 4 1
Cuntz-Krieger algebr a
of a {0 , l}-matrix, 17
of a directe d graph , 13
Cuntz-Krieger famil y
for a /c-graph , 9 1
for a row-finit e graph , 6
for a n arbitrar y graph , 4 1
in a C*-algebra , 7
on Hilber t space , 6
Cuntz-Krieger relation , 7
at a vertex , 7
Cuntz-Krieger uniquenes s theorem , 16
for a topologica l graph , 8 1
for a n arbitrar y graph , 4 5
Cuntz-Pimsner algebra , 7 5
Cuntz-Pimsner covariant , 7 5
cycle, 11, 16
in a topologica l graph , 8 1
degree map , 9 0
fo,52
desingularisation, 4 4
dichotomy, 34 , 45 , 9 7
direct limit , 6 3
of C*-algebras , 103
direct su m o f C* -algebras, 27 , 102
directed graph , 5
domain o f a morphism , 8 9
Drinen-Tomforde desingularisation , 4 4
dual action , 5 4
dual coaction , 5 2
dual graph , 17
dual group , 5 2
dual Pimsner-Voiculesc u sequence , 6 4
dual system , 5 2
duality
Imai-Takai, 5 4
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