Tamaz Kandelaki

(12.IV.1956 - 21.IV.2012)


List of Main Publications

  1. Vector bundles, and K-theory over a commutative C*-algebra with identity. (Russian) Soobshch. Akad. Sci. Gruzin. SSR 82 (1976), No. 1, 25-28.
  2. The equivalence of the categories of vector bundles and projective modules of finite type over a Banach algebra. (Russian) Soobshch. Akad. Sci. Gruzin. SSR 83 (1976), No. 1, 33-36.
  3. Extensions of C*-algebras and the topological K-bifunctor Ext(X,Y). (Russian) Soobshch. Akad. Sci. Gruzin. SSR 90 (1978), No. 1, 29-32.
  4. A theorem of stability in K-theory of C*-algebras. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 99 (1980), No. 2, 277-280.
  5. K-theory of C*-algebras as extraordinary Čech cohomology. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 100 (1980), No. 2, 277-280.
  6. The K-theory of C*-algebras. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze  68 (1982), 65-78.
  7. Category of homomorphisms into a generalized Calkin algebra and projective modules over the commutant. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 122 (1986), No. 2, 253-255.
  8. On the K-theory of Z2-graded C*-categories. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 133 (1989), No. 3, 489-492.
  9. On C*-pseudocategories. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 134 (1989), No. 3, part II, 17-20.
  10. K-theory of Z2-graded Banach categories. I. K-theory and homological algebra (Tbilisi, 1987-88), 180-221, Lecture Notes in Math., 1437, Springer, Berlin, 1990.
  11. {\cyr Leonid Samuilovich Le\u\i benzon. 1879-1951}. (Russian) [Leonid Samuilovich Leibenson. 1879-1951] With a preface by A. Yu. Ishlinski\u\i and V. N. Shchelkachev. {\cyr Nauchno-Biograficheskaya Literatura}. [Scientific-Biographic Literature] ``Nauka'', Moscow, 1991. 285 pp. (with A. N. Bogolyubov).
  12. K-theory of Z2-graded Banach categories II. Proc. Razmadze Math. Inst. 113 (1995), 95-119.
  13. Equivalence of categories of finitely generated projective modules and vector bundles over a compact for C*-algebras. In H. Inassaridze "algebraic K-theory". Kluwer Acad. Publisher, 1995, 289-304.
  14. K theory of Z2-graded C*-algebras. In H. Inassaridze "Algebraic K-theory". Kluwer Acad. Publisher, 1995, 327-350.
  15. On the Universal C*-algebra generated by a partial isometry. Georgian Math. J. 5(1997), No. 5.
  16. KK-theory as the K-theory of C*-categories. Homology Homotopy Appl. 2(2000), 127-145 (electronic).
  17. Algebraic and topological bivariant KK-theories of C*-algebras and their isomorphism. Proc. A. Razmadze Math. Inst. 126 (2001), 108-110.
  18. Multiplier and Hilbert C*-categories. Proc. A. Razmadze Math. Inst. 127 (2001), 89-111.
  19. K-theory of stable generalized operator algebras. K-Theory 496 (2002), 1-8 (with H. Inassaridze).
  20. Vanishing of Hochschild, cyclic and periodic homologies on the category of Fredholm modules. Proc. A. Razmadze Math. Inst. 131 (2003), 133-134.
  21. Algebraic K-theory view on KK-theory. www.arxiv.org (april, 2003).
  22. Karoubi-Villamayor $K$-theory, weakly stable $C\sp *$-categoroids, and $KK$-theory. Georgian Math. J. 11 (2004), No. 2, 283-299.
  23. Algebraic K-theory of Fredholm modules and KK-theory. J. Homotopy Relat. Struct. 1 (2006), no. 1, 195-218.
  24. La conjecture de Karoubi pour la K-théorie lisse. (French) [Karoubi's conjecture for the smooth K-theory] C. R. Math. Acad. Sci. Paris 346 (2008), no. 21-22, 1129-1132 (with H. Inassaridze). 
  25.  Localisation and colocalisation of KK-theory. Abh. Math. Semin. Univ. Hambg. 81 (2011), no. 1, 19-34 (with H. Inassaridze and R. Meyer). 
  26. Smooth K-theory of locally convex algebras. Commun. Contemp. Math. 13 (2011), no. 4, 553-577 (with H. Inassaridze).
  27. Localisation and colocalisation of triangulated categories and equivariant KK-theory. Proc. A. Razmadze Math. Inst. 155 (2011), 119-124 (with H. Inassaridze and R. Meyer).
  28. Localisation and colocalisation of triangulated categories at thick subcategories. Math. Scand. 110 (2012), no. 1, 59-74 (with H. Inassaridze and R. Meyer).  
  29. Categorical interpretations of some key agreement protocols. Translated from Sovrem. Mat. Prilozh., Vol. 83, 2012. J. Math. Sci. (N.Y.) 195 (2013), no. 4, 439-444 (with N. Inassaridze and M. Ladra).