Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | State Spaces of Operator Algebras - Basic Theory, Orientations, and C*-products

State Spaces of Operator Algebras

Basic Theory, Orientations, and C*-products

Alfsen, Erik M., Shultz, Frederik W.

2001, XII, 350 p.

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$69.99

(net) price for USA

ISBN 978-1-4612-0147-2

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$99.00

(net) price for USA

ISBN 978-0-8176-3890-0

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$99.00

(net) price for USA

ISBN 978-1-4612-6634-1

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica­ tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di­ mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some topics, more advanced prerequisites are needed. Here we have included all necessary definitions and statements of results, but in some cases proofs are referred to standard texts. In those cases we have tried to give references to material that can be read and understood easily in the context of our book.

Content Level » Research

Keywords » algebra - applications of mathematics - functional analysis - geometry - mathematical physics - operator algebras

Related subjects » Birkhäuser Mathematics - Birkhäuser Physics

Table of contents 

Preface * Introduction * Elementary Theory of C*-Algebras and von Neumann Algebras * Ideals, Faces and Compressions * The Normal State of Space of B(H) * States, Representations, and Orientations of C*-Algebras * Symmetries and Rotations in von Neumann Algebras * Orientations and von Neumann Algebras * Bibliography * Index

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Operator Theory.

Additional information