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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

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 | References | Similar articles | Additional information

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:

1.
M.-D. Choi, The full C*-algebra of the free group on two generators, Pacific J. Math. 87 (1980) 41-48. MR 82b:46069

2.
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.

4.
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).

7.
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 $K$ -theory of $\sigma $-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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