Journal article
Cartan subalgebras in uniform Roe algebras
- Abstract:
- In this paper we study structural and uniqueness questions for Cartan subalgebras of uniform Roe algebras. We characterise when an inclusion B⊆A of C∗-algebras is isomorphic to the canonical inclusion of ℓ∞(X) inside a uniform Roe algebra C∗u(X) associated to a metric space of bounded geometry. We obtain uniqueness results for “Roe Cartans” inside uniform Roe algebras up to automorphism when X coarsely embeds into Hilbert space, and up to inner automorphism when X has property A.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
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(Preview, Accepted manuscript, pdf, 422.2KB, Terms of use)
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- Publisher copy:
- 10.4171/GGD/570
Authors
- Publisher:
- European Mathematical Society
- Journal:
- Groups, Geometry, and Dynamics More from this journal
- Volume:
- 14
- Issue:
- 3
- Pages:
- 949–989
- Publication date:
- 2020-10-21
- Acceptance date:
- 2019-05-20
- DOI:
- EISSN:
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1661-7215
- ISSN:
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1661-7207
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1050048
- UUID:
-
uuid:b85036f3-5c59-4fca-b0ff-6257c448dbd0
- Local pid:
-
pubs:1050048
- Source identifiers:
-
1050048
- Deposit date:
-
2019-09-07
Terms of use
- Copyright holder:
- European Mathematical Society
- Copyright date:
- 2020
- Rights statement:
- © European Mathematical Society
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from European Mathematical Society at https://doi.org/10.4171/GGD/570
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