V. M. Manuilov

collaborators

2 papers

math.DG2024

A vanishing theorem in $K$ -theory for spectral projections of a non-periodic magnetic Schrödinger operator

Yuri A. Kordyukov, Vladimir M. Manuilov

We consider the Schrödinger operator $H (μ) = \nabla_{A}^{*} \nabla_{A} + μ V$ on a Riemannian manifold $M$ of bounded geometry, where $μ > 0$ is a coupling parameter, the magneti…

math.OA2021

Hilbert C*-modules related to discrete metric spaces

V. Manuilov

It is shown that the metric on the union of the sets $X$ and $Y$ defines a Hilbert $C^{*}$ -module over the uniform Roe algebra of the space $X$ with a fixed metric $d_{X}$ . A number of…

A vanishing theorem in K-theory for spectral projections of a non-periodic magnetic Schrödinger operator

Hilbert C*-modules related to discrete metric spaces

A vanishing theorem in $K$ -theory for spectral projections of a non-periodic magnetic Schrödinger operator