**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

**Operator Algebras and Quantum Statistical Mechanics**

by

**Ola Bratteli, Derek W. Robinson**-

**Springer**

These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.

(

**15098**views)

**Functional Analysis**

by

**Feng Tian, Palle E.T. Jorgensen**-

**arXiv**

Notes from a course which covered themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.

(

**8910**views)

**Functors and Categories of Banach Spaces**

by

**Peter W. Michor**-

**Springer**

The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.

(

**7829**views)

**Functional Analysis**

by

**Alexander C. R. Belton**-

**Lancaster University**

These lecture notes are an expanded version of a set written for a course given to final-year undergraduates at the University of Oxford. A thorough understanding of Banach and Hilbert spaces is a prerequisite for this material.

(

**9253**views)