Normal operators in $C*$-algebras without nice approximants
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- by Don Hadwin and Terry A. Loring PDF
- Proc. Amer. Math. Soc. 125 (1997), 159-161 Request permission
Abstract:
The second author constructed a separable direct limit $C^*$-algebra with real rank zero containing a normal element whose spectrum is the closed unit disk that is not the limit of normal elements in the limiting algebras, and is not a limit of normals in the algebra having finite spectrum. We use Fredholm index theory to modify and simplify this construction to obtain such examples that are not limits of any โniceโ types of elements.References
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Additional Information
- Don Hadwin
- Affiliation: Department of Mathematics, University of New Hampshire, Durham, New Hampshire 03824
- Email: don@math.unh.edu
- Terry A. Loring
- Affiliation: Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
- Email: loring@deepthought.unm.edu
- Received by editor(s): July 3, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 159-161
- MSC (1991): Primary 46L80, 47A58; Secondary 46L05, 47C15
- DOI: https://doi.org/10.1090/S0002-9939-97-03734-9
- MathSciNet review: 1371125