Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Operator Algebras

arXiv:1405.6512 (math)
[Submitted on 26 May 2014 (v1), last revised 30 Nov 2015 (this version, v2)]

Title:A more general method to classify up to equivariant KK-equivalence

Authors:Rasmus Bentmann, Ralf Meyer
View PDF
Abstract:Using a homological invariant together with an obstruction class in a certain Ext^2-group, we may classify objects in triangulated categories that have projective resolutions of length two. This invariant gives strong classification results for actions of the circle group on C*-algebras, C*-algebras over finite unique path spaces, and graph C*-algebras with finitely many ideals.
Comments: 24 pages; added some clarification to the proof of Theorem 2.6, added Remark 3.5, removed incorrect Example 5.21, updated references, acknowledgement and email-address
Subjects: Operator Algebras (math.OA); K-Theory and Homology (math.KT)
MSC classes: Primary 46L35, Secondary 18E30, 19K35
Cite as: arXiv:1405.6512 [math.OA]
  (or arXiv:1405.6512v2 [math.OA] for this version)
  https://doi.org/10.48550/arXiv.1405.6512
Journal reference: Doc. Math. 22 (2017), 423-454

Submission history

From: Rasmus Bentmann [view email]
[v1] Mon, 26 May 2014 09:23:02 UTC (34 KB)
[v2] Mon, 30 Nov 2015 20:26:10 UTC (34 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
math.OA
< prev   |   next >
new | recent | 2014-05
Change to browse by:
math
math.KT

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)