Skip to main content Accessibility help
×
Home
Hostname: page-component-7bb4899584-tj5z8 Total loading time: 0.303 Render date: 2023-01-27T02:25:34.979Z Has data issue: true Feature Flags: { "useRatesEcommerce": false } hasContentIssue true

AMENABILITY FOR REAL C*-ALGEBRAS

Published online by Cambridge University Press:  01 June 2008

NHAN BAO HO*
Affiliation:
Department of Mathematical and Statistical Sciences, La Trobe University, Victoria 3086, Australia (email: honhanbao@yahoo.com)
Rights & Permissions[Opens in a new window]

Abstract

HTML view is not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is shown that the complexification of a positive linear map on a real C*-algebra need not be positive whereas the complexification of a completely positive linear map is completely positive. It is further shown that a real C*-algebra is amenable if and only if its complexification is amenable and that a completely positive linear map is amenable if and only if its complexification is. Finally, a real version of the Choi–Effros lifting theorem is established.

MSC classification

Type
Research Article
Copyright
Copyright © 2008 Australian Mathematical Society

References

[1]Goodearl, R. K., Notes on Real and Complex C *-algebras (Shiva, England, 1982).Google Scholar
[2]Lin, H., An Introduction to the Classification of Amenable C *-algebras (World Scientific, River Edge, NJ, 2001).Google Scholar
You have Access
1
Cited by

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

AMENABILITY FOR REAL C*-ALGEBRAS
Available formats
×

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

AMENABILITY FOR REAL C*-ALGEBRAS
Available formats
×

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

AMENABILITY FOR REAL C*-ALGEBRAS
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *