6 citations · 7 across the 6 of their papers we have counts for
6 papers
On Spectral Invariant Dense Subalgebras of Uniform Roe Algebras with Subexponential Growth
Siqi Jiang, Xianjin Wang
In this paper, we study spectrally invariant subalgebras of uniform Roe algebras for discrete groups with subexponential growth. For a group with subexponential growth and sati…
The equivariant coarse Novikov conjecture and coarse embedding
Benyin Fu, Xianjin Wang, Guoliang Yu
The equivariant coarse Novikov conjecture provides an algorithm for determining nonvanishing of equivariant higher index of elliptic differential operators on noncompact manifolds.…
Remarks on strong embeddability for discrete metric spaces and groups
Guoqiang Li, Xianjin Wang
In this paper, we show that the strong embeddability has fibering permanence property and is preserved under the direct limit for the metric space. Moreover, we show the following…
Warped cones and Haagerup property
Guoqiang Li, Xianjin Wang
In this paper we show that the fibred coarse embeddability of a warped cone implies the Haagerup property of the appropriate group. Moreover, Kazhdan's property (T) of the group im…
Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces
Guoqiang Li, Xianjin Wang
In this paper we show that a countable, residually amenable group admits a proper isometric affine action on some uniformly convex Banach space if and only if one (or equivalently,…
Metric sparsification and operator norm localization
Xiaoman Chen, Romain Tessera, Xianjin Wang +1
We study an operator norm localization property and its applications to the coarse Novikov conjecture in operator K-theory. A metric space X is said to have operator norm localizat…