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Lefschetz numbers of C*-complexes

  • Geometry Of Manifolds
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Algebraic Topology Poznań 1989

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1474))

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References

  1. Atiyah, M. F. and Segal, G. B. The index of elliptic operators. II. Ann. of Math. (2) 87 (1968), 531–545.

    Article  MathSciNet  MATH  Google Scholar 

  2. Friedrich, T. Vorlesungen über K-Theorie. Leipzig: Teubner, 1987.

    MATH  Google Scholar 

  3. Karoubi, M. Homologie cyclique des groupes et des algébres. C. R. Ac. Sci. Paris, Série 1, 297 (1983), 381–384.

    MathSciNet  MATH  Google Scholar 

  4. Karoubi, M. Homologie cyclique et K-théorie algébrique. I. C. R. Ac. Sci. Paris, Série 1, 297 (1983), 447–450.

    MathSciNet  MATH  Google Scholar 

  5. Kasparov, G. G. Hilbert C*-modules: theorems of Stinespring and Voiculescu. J. Operator Theory 4 (1980), 133–150.

    MathSciNet  MATH  Google Scholar 

  6. Mischenko, A. S. Representations of compact groups in Hilbert modules over C*-algebras. Trudy Mat. Inst. Steklov. 166 (1984), 161–176 (in Russian). English transl. in Proc. Steklov Inst. Math., 1986, No.1 (166).

    MathSciNet  Google Scholar 

  7. Mischenko, A. S. and Fomenko, A. T. The index of elliptic operators over C*-algebras. Izv. Akad. Nauk SSR. Ser. Mat., 43 (1979), 831–859 (in Russian). English transl. in Math. USSR Izv., 15 (1980).

    MathSciNet  MATH  Google Scholar 

  8. Mischenko, A. S. and Pidstrigach, V. Ya. On non-commutative local index formula. in Baku International Topological Conference. Abstracts (Part II). Baku 1987, 244. (in Russian).

    Google Scholar 

  9. Troitsky, E. V. The index of equivariant elliptic operators over C*-algebras. Ann. Global Anal. Geom., 5, No.1 (1987), 3–22.

    Article  MathSciNet  MATH  Google Scholar 

  10. Troitsky, E. V. An exact K-cohomological C*-index formula. I. The Thom isomorphism and the topological index. Vestnik Mosk. Univ. Ser. 1. Mat. Meh., No.2 (1988), 83–85 (in Russian). English transl. in Moscow Univ. Math. Bull., to appear.

    Google Scholar 

  11. Troitsky, E. V. An exact K-cohomological C*-index formula. II. The index theorem and its applications. Usp. Mat. Nauk, 44 (1989), No. 1, 213–214 (in Russian).

    Google Scholar 

  12. Troitsky, E. V. The contractibility of the full general linear group of the C*-Hilbert module l 2 (A). Funkz. Anal. i Priloz., 20 (1986), No.4, 58–64 (in Russian). English transl. in Funct. Anal. Appl., to appear.

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Mech. and Math., Moscov State University, 119899, Moscov, USSR

    E. V. Troitsky (Chair of Higher Geometry and Topology)

Authors
  1. E. V. Troitsky
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Stefan Jackowski Bob Oliver Krzystof Pawałowski

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© 1991 Springer-Verlag

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Troitsky, E.V. (1991). Lefschetz numbers of C*-complexes. In: Jackowski, S., Oliver, B., Pawałowski, K. (eds) Algebraic Topology Poznań 1989. Lecture Notes in Mathematics, vol 1474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084747

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  • DOI: https://doi.org/10.1007/BFb0084747

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54098-4

  • Online ISBN: 978-3-540-47403-6

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