**Geometric Models for Noncommutative Algebra**

by Ana Cannas da Silva, Alan Weinstein

**Publisher**: University of California at Berkeley 1998**Number of pages**: 194

**Description**:

Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, like the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this book, we discuss several types of geometric objects which are closely related to noncommutative algebras.

Download or read it online for free here:

**Download link**

(3.3MB, PDF)

## Similar books

**An informal introduction to the ideas and concepts of noncommutative geometry**

by

**Thierry Masson**-

**arXiv**

This is an extended version of a three hours lecture given at the 6th Peyresq meeting 'Integrable systems and quantum field theory'. We make an overview of some of the mathematical results which motivated the development of noncommutative geometry.

(

**6556**views)

**Surveys in Noncommutative Geometry**

by

**Nigel Higson, John Roe**-

**American Mathematical Society**

These lectures are intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Topics: applications of noncommutative geometry to problems in ordinary geometry and topology, residue index theorem, etc.

(

**6369**views)

**Very Basic Noncommutative Geometry**

by

**Masoud Khalkhali**-

**University of Western Ontario**

Contents: Introduction; Some examples of geometry-algebra correspondence; Noncommutative quotients; Cyclic cohomology; Chern-Connes character; Banach and C*-algebras; Idempotents and finite projective modules; Equivalence of categories.

(

**4423**views)

**Notes on Noncommutative Geometry**

by

**Igor Nikolaev**-

**arXiv**

The book covers basics of noncommutative geometry and its applications in topology, algebraic geometry and number theory. Intended for the graduate students and faculty with interests in noncommutative geometry; they can be read by non-experts.

(

**3460**views)