471884

9780821819166

Categories of Operator Modules Morita Equivalence and Projective Modules
Categories of Operator Modules Morita Equivalence and Projective Modules
$43.00
$3.95 Shipping
List Price
$46.00
Discount
6% Off
You Save
$3.00

  • Condition: New
  • Provider: SequiturBooks Contact
  • Provider Rating:
    90%
  • Ships From: Boonsboro, MD
  • Shipping: Standard, Expedited
  • Comments: Brand new. We distribute directly for the publisher. We employ recent advances in the theory of operator spaces, also known as quantized functional analysis, to provide a context in which one can compare categories of modules over operator algebras that are not necessarily self-adjoint. We focus our attention on the category of Hilbert modules over an operator algebra and on the category of operator modules over an operator algebra. The module operations are assumed to be completely bounded - usually, comp

   30-day money back guarantee
$14.11
$3.95 Shipping
List Price
$46.00
Discount
69% Off
You Save
$31.89

  • Condition: Very Good
  • Provider: Better World Books Contact
  • Provider Rating:
    92%
  • Ships From: Mishawaka, IN
  • Shipping: Standard, Expedited
  • Comments: Former Library book. Great condition for a used book! Minimal wear. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!

   30-day money back guarantee

Ask the provider about this item.

Most renters respond to questions in 48 hours or less.
The response will be emailed to you.
Cancel
  • ISBN-13: 9780821819166
  • ISBN: 082181916X
  • Publisher: American Mathematical Society

AUTHOR

SUMMARY

We employ recent advances in the theory of operator spaces, also known as quantized functional analysis, to provide a context in which one can compare categories of modules over operator algebras that are not necessarily self-adjoint. We focus our attention on the category of Hilbert modules over an operator algebra and on the category of operator modules over an operator algebra. The module operations are assumed to be completely bounded - usually, completely contractive. Wedevelop the notion of a Morita context between two operator algebras A and B. This is a system (A,B,{} {A}X {B},{} {B} Y {A},(\cdot,\cdot),[\cdot,\cdot]) consisting of the algebras, two bimodules {A}X {B and {B}Y {A} and pairings (\cdot,\cdot) and [\cdot,\cdot] that induce (complete) isomorphisms betweenthe (balanced) Haagerup tensor products, X \otimes {hB} {} Y and Y \otimes {hA} {} X, and the algebras, A and B, respectively. Thus, formally, a Morita context is the same as that which appears in pure ring theory. The subtleties of the theory lie in the interplay between the pure algebra and the operator space geometry. Our analysis leads to viable notions of projective operator modules and dual operator modules. We show that two C*-algebras are Morita equivalent in our sense if and only ifthey are C*-algebraically strong Morita equivalent, and moreover the equivalence bimodules are the same. The distinctive features of the non-self-adjoint theory are illuminated through a number of examples drawn from complex analysis and the theory of incidence algebras over topological partial orders.Finally, an appendix provides links to the literature that developed since this Memoir was accepted for publication.Blecher, David P. is the author of 'Categories of Operator Modules Morita Equivalence and Projective Modules' with ISBN 9780821819166 and ISBN 082181916X.

[read more]

Questions about purchases?

You can find lots of answers to common customer questions in our FAQs

View a detailed breakdown of our shipping prices

Learn about our return policy

Still need help? Feel free to contact us

View college textbooks by subject
and top textbooks for college

The ValoreBooks Guarantee

The ValoreBooks Guarantee

With our dedicated customer support team, 30-day no-questions-asked return policy, and our price match guarantee, you can rest easy knowing that we're doing everything we can to save you time, money, and stress.