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Interpolation by Projections in C*-Algebras

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Operator Algebras

Part of the book series: Abel Symposia ((ABEL,volume 1))

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References

  1. Blackadar, B.: Notes on the structure of projections in simple C * -algebras. Semesterbericht Funktionalanalysis, W82, Universität Tübingen, 1983.

    Google Scholar 

  2. Brown, L.G.: Interpolation by projections in C * -algebras of real rank zero. Journal of Operator Theory, 26, 383-387, 1991

    MATH  MathSciNet  Google Scholar 

  3. Brown, L.G., Pedersen, G.K.: C * -algebras of real rank zero. Journal of Functional Analysis 99, 131-149, 1991.

    Article  MATH  MathSciNet  Google Scholar 

  4. Brown, L.G., Pedersen, G.K.: On the geometry of the unit ball of a C * -algebra. Journal für die reine und angewandte Mathematik 469, 113-147, 1995

    Article  MATH  MathSciNet  Google Scholar 

  5. Brown, L.G., Pedersen, G.K.: Approximation and convex decomposition by extremals in a C * -algebra. Mathematica Scandinavica, 81, 69-85, 1997.

    MATH  MathSciNet  Google Scholar 

  6. Brown, L.G., Pedersen, G.K.: Ideal structure and C * -algebras of low rank. Mathematica Scandinavica, to appear.

    Google Scholar 

  7. Brown, L.G., Pedersen, G.K.: Limits and C * -algebras of low rank or dimension.

    Google Scholar 

  8. Haagerup, U., Rørdam, M.: C * -algebras of unitary rank two. Journal of Operator Theory, 30, 161-171, 1993

    MATH  MathSciNet  Google Scholar 

  9. Leichtnam, E., Lück, W.: On the cut and paste property of higher signatures of a closed oriented manifold. Topology, 41, 725-744, 2002.

    Article  MATH  MathSciNet  Google Scholar 

  10. Leichtnam, E., Piazza, P.: Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings. Geometric and Functional Analysis, 8, 171-189,1998.

    Article  MathSciNet  Google Scholar 

  11. Leichtnam, E., Piazza, P.: Dirac index classes and the noncommutative spectral flow. Journal of Functional Analysis, 200, 348-400, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  12. Leichtnam, E., Lott, J., Piazza, P.: On the homotopy invariance of higher signatures for manifolds with boundary. Journal of Differential Geometry, 54, 561-633,2000.

    MATH  MathSciNet  Google Scholar 

  13. Lott, J.: The zero-in-the-spectrum question. L’Enseignement Mathématique, 42, 341-376, 1996.

    MATH  MathSciNet  Google Scholar 

  14. Olsen, C.L.: Unitary approximation. Journal of Functional Analysis, 85, 392-419,1989.

    Article  MATH  MathSciNet  Google Scholar 

  15. Pedersen, G.K.: Unitary extensions and polar decompositions in a C * -algebra. Journal of Operator Theory, 17, 357-364, 1987.

    MATH  MathSciNet  Google Scholar 

  16. Pedersen, G.K.: Three quavers on unitary elements in C * -algebras. Pacific Journal of Mathematics, 137, 169-180, 1989.

    MATH  MathSciNet  Google Scholar 

  17. Pedersen, G.K.: The λ-function in operator algebras. Journal of Operator Theory 26, 345-381, 1991.

    MATH  MathSciNet  Google Scholar 

  18. Rieffel, M.A.: Dimension and stable rank in the K -theory of C * -algebras. Proceedings of the London Mathematical Society (3) 46, 301-333, 1983.

    Article  MATH  MathSciNet  Google Scholar 

  19. Rørdam, M.: Advances in the theory of unitary rank and regular approximation. Annals of Mathematics 128, 153-172, 1988.

    Article  MathSciNet  Google Scholar 

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Brown, L.G., Pedersen, G.K. (2006). Interpolation by Projections in C*-Algebras. In: Bratteli, O., Neshveyev, S., Skau, C. (eds) Operator Algebras. Abel Symposia, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34197-0_1

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