Projectionless C*-algebras
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- by Llolsten Kaonga
- Proc. Amer. Math. Soc. 130 (2002), 33-38
- DOI: https://doi.org/10.1090/S0002-9939-01-06059-2
- Published electronically: April 26, 2001
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Abstract:
We give a sufficient condition for a unital C*-algebra to have no nontrivial projections, and we apply this result to known examples and to free products. We also show how questions of existence of projections relate to the norm-connectedness of certain sets of operators.References
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Bibliographic Information
- Llolsten Kaonga
- Affiliation: Aprisma Technologies, Durham, New Hampshire 03824
- Email: lkaonga@aprisma.com
- Received by editor(s): February 4, 1997
- Received by editor(s) in revised form: May 31, 2000
- Published electronically: April 26, 2001
- Communicated by: Palle E. T. Jorgensen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 33-38
- MSC (1991): Primary 05C38, 15A15; Secondary 05A15, 15A18
- DOI: https://doi.org/10.1090/S0002-9939-01-06059-2
- MathSciNet review: 1855616