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Title: Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds
We prove that the higher rho invariant is a homomorphism from the structure group of a compact manifold to the K-group of certain geometric C*-algebra. In particular, we apply this result to show that the structure group is infinitely generated for a class of manifolds.  more » « less
Award ID(s):
1700021
NSF-PAR ID:
10232328
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Communications on pure and applied mathematics
Volume:
74
Issue:
1
ISSN:
1097-0312
Page Range / eLocation ID:
3-113
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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