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On the General Stable Rank for Pairs

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Linear Operators in Function Spaces

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 43))

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Abstract

Recent works of M.A. Rieffel ([4], [5]) on the so-called “cancellation” property for projective modules over C*-algebras give sufficient motivation to consider his theory of stable ranks as a fruitful instrument in the non-stable K-theory of C*—algebras.

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References

  1. Blackadar, B.: K-theory for operator algebras, Springer -Verlag, 1985.

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  2. Douglas, R.G.: Banach algebra techniques in the theory of Toeplitz operators, BMS Regional Conference Series in Math., nr. 15, Amer. Math. Soc, 1972.

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  3. Nagy, G.: Some remarks on lifting invertible elements from quotient C*-algebras, J. Operator Theory (to appear).

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  4. Rieffel, M.A.: Dimension and stable rank in the K-theory of C -algebras, Proc. London Math. Soc. 46(1983), 301–333.

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  5. Rieffel, M.A.: The cancellation theorem for projective modules over irrational rotation C*-algebras, Proc. London Math. Soc. 47(1983), 285–302.

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  6. Taylor, J.L.: Banach algebras and topology, Algebras in Analysis, Academic Press, 1975, pp. 118–186.

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© 1990 Birkhäuser Verlag Basel

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Nagy, G. (1990). On the General Stable Rank for Pairs. In: Helson, H., Sz.-Nagy, B., Vasilescu, FH., Arsene, G. (eds) Linear Operators in Function Spaces. Operator Theory: Advances and Applications, vol 43. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7250-8_18

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  • DOI: https://doi.org/10.1007/978-3-0348-7250-8_18

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7252-2

  • Online ISBN: 978-3-0348-7250-8

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