List of Main Publications of Tamaz Kandelaki

  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. K-theory (to appear) (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.