de.mpg.escidoc.pubman.appbase.FacesBean
English
 
Help Guide Disclaimer Contact us Login
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  The graded product of real spectral triples

Farnsworth, S. (2017). The graded product of real spectral triples. Journal of Mathematical Physics, 58: 023507. doi:10.1063/1.4975410.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-238F-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-2BC3-4
Genre: Journal Article

Files

show Files
hide Files
:
1605.07035.pdf (Preprint), 569KB
Description:
File downloaded from arXiv at 2017-04-27 08:55
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
JMP58_023507.pdf (Publisher version), 239KB
 
File Permalink:
-
Description:
-
Visibility:
Restricted
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Farnsworth, Shane1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24008              

Content

show
hide
Free keywords: Mathematical Physics, math-ph,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP
 Abstract: Forming the product of two geometric spaces is one of the most basic operations in geometry, but in the spectral-triple formulation of non-commutative geometry, the standard prescription for taking the product of two real spectral triples is problematic: among other drawbacks, it is non-commutative, non-associative, does not transform properly under unitaries, and often fails to define a proper spectral triple. In this paper, we explain that these various problems result from using the ungraded tensor product; by switching to the graded tensor product, we obtain a new prescription where all of the earlier problems are neatly resolved: in particular, the new product is commutative, associative, transforms correctly under unitaries, and always forms a well defined spectral triple.

Details

show
hide
Language(s):
 Dates: 2016-05-232017
 Publication Status: Published in print
 Pages: 15 pages, no figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1605.07035
DOI: 10.1063/1.4975410
URI: http://arxiv.org/abs/1605.07035
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Journal of Mathematical Physics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Woodbury, N.Y. [etc.] : American Institute of Physics
Pages: - Volume / Issue: 58 Sequence Number: 023507 Start / End Page: - Identifier: ISSN: 0022-2488
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954922836227