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Projectionless C*-algebras
Author(s):
Llolsten
Kaonga
Journal:
Proc. Amer. Math. Soc.
130
(2002),
33-38.
MSC (1991):
Primary 05C38, 15A15;
Secondary 05A15, 15A18
Posted:
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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- J. B. Conway, The theory of subnormal operators, Amer. Math. Soc. Surveys and Monographs 36 (1991). MR 92h:47026
- 3.
- J. Froelich and H. Salas, The C*-algebra generated by a C*-universal operator, preprint.
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- D. W. Hadwin, Nonseparable approximate equivalence, Trans. Amer. Math. Soc. 266 (1981) 203-231. MR 82e:46078
- 5.
- D. W. Hadwin, L. Kaonga, and B. Mathes, Noncommutative continuous functions, preprint.
- 6.
- L. Kaonga, Decomposable functions and universal C*-algebras, Ph.D. Thesis, University of New Hampshire (1994).
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- K. McClanahan, C*-algebras generated by elements of a unitary matrix, J. Funct. Anal. 107 (1992). MR 93j:46062
- 8.
- N. C. Phillips, Classifying algebras for
-theory of -C*-algebras, Canadian J. Math. XLI 6 (1989) 1021-1089. MR 91h:46119
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Additional Information:
Llolsten
Kaonga
Affiliation:
Aprisma Technologies, Durham, New Hampshire 03824
Email:
lkaonga@aprisma.com
DOI:
10.1090/S0002-9939-01-06059-2
PII:
S 0002-9939(01)06059-2
Received by editor(s):
February 4, 1997
Received by editor(s) in revised form:
May 31, 2000
Posted:
April 26, 2001
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
2001,
American Mathematical Society
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