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math.OA2013★ 10 cited
Finite part of operator K-theory for groups finitely embeddable into Hilbert space and the degree of non-rigidity of manifolds
Shmuel Weinberger, Guoliang Yu
In this paper, we study lower bounds on the K-theory of the maximal -algebra of a discrete group based on the amount of torsion it contains. We call this the finite part of th…
math.PR2013★ 10 cited
Crackle: The Persistent Homology of Noise
Robert J. Adler, Omer Bobrowski, Shmuel Weinberger
We study the homology of simplicial complexes built via deterministic rules from a random set of vertices. In particular, we show that, depending on the randomness that generates t…