A note on idempotents in finite AW*-factors
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- by Gabriel Nagy
- Proc. Amer. Math. Soc. 130 (2002), 1065-1071
- DOI: https://doi.org/10.1090/S0002-9939-01-06315-8
- Published electronically: October 5, 2001
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Abstract:
We prove that the value of the quasi-trace on an idempotent element in an AW*-factor of type $\text {II}_1$ is the same as the dimension of its left (or right) support.References
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Bibliographic Information
- Gabriel Nagy
- Affiliation: Department of Mathematics, Kansas State University, Manhattan, Kansas 66506
- Email: nagy@math.ksu.edu
- Received by editor(s): October 4, 2000
- Published electronically: October 5, 2001
- Additional Notes: This work was partially supported by NSF grant DMS 9706858
- Communicated by: David R. Larson
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1065-1071
- MSC (1991): Primary 46L10; Secondary 46L30
- DOI: https://doi.org/10.1090/S0002-9939-01-06315-8
- MathSciNet review: 1873780