Index
a-approximation theorem , 67 , 8 4
assembly map , 38-44 , 50 , 52 , 64 , 69, 74 ,
80, 8 8
Baum-Connes, 43 , 7 5
coarse, 6 9
equivariant, 4 3
Baum-Connes conjecture , 3 4
coarse, see coars e Baum-Conne s con -
jecture
bordism, 30 , 31, 45, 49, 56 , 63 , 66, 6 7
spin, 5 5
Bott periodicity , 25 , 3 4
boundary
Gromov, 8 5
Higson, 8 9
map, 21, 28, 41, 63
of a cone-lik e end , 5 8
of a n Operator , see Operato r
of compactification , 8 8
bounded geometry , 13, 34 , 61, 62, 70 , 84 ,
88
C*-algebra, 17, 72 , 8 9
crossed product , 3 3
of a coars e space , see C* (X)
of a group , 18
C*(X), 19
chopping function , 4 , 20 , 3 8
exact, 5 8
classifying space , 13, 31, 53, 71, 75
coarse
homology, 14-16, 6 9
map, 9 , 19, 32 , 34 , 39 , 63 , 80, 8 8
structure, 10, 13, 40, 8 7
bounded, 8 7
continuously controlled , 8 8
coarse Baum-Conne s conjecture , 70 , 71,
80, 8 2
with coefficients , 7 5
coarsely equivalent , 10
coarsening, 14, 6 9
coarsening sequenc e o f Covers, 15, 7 0
cobordism, see bordis m
compactification, 8 8
coarse, 8 8
Higson, 89 , 9 2
concordant, 55 , 6 0
D*{X), 3 8
descent principle , 71, 86, 9 1
Dranishnikov space , 7 0
Eilenberg swindle , 79 , 8 3
elliptic regularity , 3 , 2 0
end, 5 8
e-propagation, 20 , 8 4
excision, 37 , 8 9
strong, 8 0
excisive
decomposition, 7 7
functor, 7 2
finite propagatio n speed , 20 , 3 8
flasque, 78 , 8 1
Fredholm module , 3 5
functional calculus , 3 , 20, 6 2
grading, 4 , 21, 28, 38, 6 2
Gromov-Lawson invariant , 5 9
/i-cobordism, 45 , 55 , 6 5
higher .4-genus , 32 , 4 4
higher inde x theorem , see inde x theorem ,
higher
higher signature , 32 , 53 , 66
Hilbert-Poincare space , 6 1
homotopy fixe d set , 7 1
hyperbolic
differential equation , 2 0
space, 9 , 8 5
99
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