3 papers
math.MG2025
Paths in graphs: bounded geometry and property A
V. Manuilov
We expose a class of discrete metric spaces, for which bounded geometry is equivalent to the property A of G. Yu. This class includes the coarse disjoint union of $(\mathbb Z/2\mat…
math.MG2025
Bounded geometry version of property A
V. Manuilov
For uniformly dicrete metric spaces without bounded geometry we suggest a modified version of property A based on metrics of bounded geometry greater than the given metric. We show…
math.OA2024
On large submodules in Hilbert C*-modules
V. Manuilov
We consider several natural ways of expressing the idea that a one-sided ideal in a C*-algebra (or a submodule in a Hilbert C*-module) is large, and show that they differ, unlike t…