Published 2007
| Version Published
Journal Article
Open
Isomorphism of Borel full groups
-
1.
University of California, Los Angeles
-
2.
California Institute of Technology
-
3.
University of Illinois Urbana-Champaign
Abstract
Suppose that G and H are Polish groups which act in a Borel fashion on Polish spaces X and Y. Let E_G^X and E_H^Y denote the corresponding orbit equivalence relations, and [G] and [H] the corresponding Borel full groups. Modulo the obvious counterexamples, we show that [G] ≅ [H] ⇔ E_G^X ≅_B E_H^Y
Additional Information
© 2006 American Mathematical Society. Reverts to public domain 28 years from publication. Received by the editors June 20, 2005 and, in revised form, September 6, 2005. Posted: August 8, 2006. Communicated by Julia Knight. The first author was supported in part by NSF VIGRE Grant DMS-0502315Attached Files
Published - MILpams06.pdf
Files
MILpams06.pdf
Additional details
Identifiers
- Eprint ID
- 24764
- Resolver ID
- CaltechAUTHORS:20110809-114329975
Funding
- NSF VIGRE Grant
- DMS-0502315
Dates
- Created
-
2011-08-09Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
Caltech Custom Metadata
- Other Numbering System Name
- MathSciNet review
- Other Numbering System Identifier
- 2255298