**Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics**

by N.P. Landsman

**Publisher**: arXiv 1998**Number of pages**: 90

**Description**:

This is a graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization. The reader is supposed to know elementary functional analysis and quantum mechanics.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Basic Analysis Gently Done: Topological Vector Spaces**

by

**Ivan F. Wilde**-

**King's College, London**

These notes are based on lectures given as part of a mathematics MSc program. The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; etc.

(

**9805**views)

**Von Neumann Algebras**

by

**Vaughan F. R. Jones**-

**UC Berkeley Mathematics**

The purpose of these notes is to provide a rapid introduction to von Neumann algebras which gets to the examples and active topics with a minimum of technical baggage. The philosophy is to lavish attention on a few key results and examples.

(

**12945**views)

**Introduction to Functional Analysis**

by

**Vladimir V. Kisil**-

**University of Leeds**

Contents: Fourier Series; Basics of Linear Spaces; Orthogonality; Fourier Analysis; Duality of Linear Spaces; Operators; Spectral Theory; Compactness; The spectral theorem for compact normal operators; Applications to integral equations; etc.

(

**12206**views)

**Nonlinear Functional Analysis**

by

**Gerald Teschl**-

**University of Vienna**

This manuscript provides a brief introduction to nonlinear functional analysis. As an application we consider partial differential equations and prove existence and uniqueness for solutions of the stationary Navier-Stokes equation.

(

**13751**views)