| Full Name |
Kandelaki Tamaz |
| Address |
27-5 Kazbegi Street, Rustavi, Georgia. | | Phone |
824-17-60-37 | | Fax |
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| E-mail |
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| Web Page |
kandel@rmi.acnet.ge/~kandel | | Date Of Birth |
1951-04-12 | | Education |
1981: Ph.D. ("Candidate of Physical and Mathematical Sciences"), Tbilisi State University;
1973-1976: Postgraduate Study in Mathematics (Algebra) at Tbilisi State University;
1973: Diploma of Highest Education, Mathematician, Tbilisi State University;
1968-1973: Graduate Study in Mathematics at Tbilisi State University, Faculty of Mechanics and Mathematics.
| | Position |
Senior Research Scientist at the Department of Algebra of A. Razmadze Mathematical Institute | | Publications |
A. (With H. Inassaridze) On Torsion and Finite $KK$-theories: (A Remark on BC-Conjecture) (preprint);
B. Algebraic and topological Z_2-graded K-theories and KK-theory; (preprint)
C. An analogue of Karoubi's Conjecture, (preprint)
1. Algebraic $K$-theory of Fredholm modules and $KK$theory,
Journal of Homotopy and Related structure, V.1. N.1 (2006),
195-218.
2. Smooth K-theory of locally convex algebras, (with H. Inassaridze), (2006), (to appear), arXiv: math.KT/0603095.
3. Algebraic K-theory view on KK-theory. (www.arxiv.org, April 2003).
4. Karoubi-Villamayor $K$-theory, weakly stable $C\sp *$-categoroids, and $KK$-theory. Georgian Math. J. 11 (2004), No. 2, 283-299.
5. Vanishing of Hochschild, cyclic and periodic homologies on the category of Fredholm modules. Proc. A. Razmadze Math. Inst. 131 (2003), 133-134.
6. K-theory of stable generalized operator algebras. K-Theory 496 (2002), 1-8 (with H. Inassaridze).
7. Multiplier and Hilbert C*-categories. Proc. A. Razmadze Math. Inst. 127 (2001), 89-111.
8. Algebraic and topological bivariant KK-theories of C*-algebras and their isomorphism. Proc. A. Razmadze Math. Inst. 126 (2001), 108-110.
9. KK-theory as the K-theory of C*-categories. Homology Homotopy Appl. 2(2000), 127-145 (electronic).
10. On the Universal C*-algebra generated by a partial isometry. Georgian Math. J. 5(1997), No. 5.
11. K theory of Z2-graded C*-algebras. In H. Inassaridze "Algebraic K-theory". Kluwer Acad. Publisher, 1995, 327-350.
12. 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.
13. K-theory of Z2-graded Banach categories II. Proc. Razmadze Math. Inst. 113 (1995), 95-119.
14. 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.
15. On C*-pseudocategories. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 134 (1989), No. 3, part II, 17-20.
16. On the K-theory of Z2-graded C*-categories. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 133 (1989), No. 3, 489-492.
17. 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.
18. The K-theory of C*-algebras. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 68 (1982), 65-78.
19. K-theory of C*-algebras as extraordinary ÄŒech cohomology. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 100 (1980), No. 2, 277-280.
20. A theorem of stability in K-theory of C*-algebras. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 99 (1980), No. 2, 277-280.
21. extensions C*-algebras and the topological K-bifunctor Ext(X,Y). (Russian) Soobshch. Akad. Sci. Gruzin. SSR 90 (1978), No. 1, 29-32.
22. 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.
23. Vector bundles, and K-theory over a commutative C*-algebra with identity. (Russian) Soobshch. Akad. Sci. Gruzin. SSR 82 (1976), No. 1, 25-28.
| | Conferences,contacts,other scientific and educational activities |
International Conference in Algebraic topology, St. Peterburg, 1983;
International Conference in Algebraic topology, Baku, 1987;
Seminars in Non-commutative Geometry, Heidelberg, 1994;
Conference in Homotopical Algebra, Strasbourg 1999;
International Conference "Homological and Homotopical Algebra" at A. Razmadze Mathematical Institute, Tbilisi, 2000;
Séminaire de Géométrie Algébrique, Université Montpellier II, 2005;
Séminaire de Topologie Algébrique,Université de Paris 13, 2005.
Conference in "homotopy theory", University of Copenhagen, 2006.
| | Participation in Grant Projects |
1. "Algebraic K-theory and K-homology of Normed Algebras, Monoid Algebras, C-categories and Algebraic Theories" – ISF-MXH000.
2. "Homological Algebra, its Non-abelian and Categorical Topics. Applications to Homotopy Theory, K-theory, Algebraic Geometry and Galois Theory†– CRDF-GM1-115.
3. "Algebraic K-theory, Groups, and Categories" – INTAS-93-416-ext.
4. "Homotopical Algebra and K-theory" – CNRS-542.
5. "Development and Applications of Simplicial Algebraic Techniques in the Cohomology of Algebraic Structures, Homotopy Theory, K-Theory and Cyclic Homology"-INTAS Georgia- 213.
6. "Algebraic K-theory, Groups and Algebraic Homotopy Theory"-INTAS-00 566.
7. "K-Theory and Homotopical Algebra" – FNRS 7GEPJ065513.01.
8. "Simplicial Algebra, homology theories, K-theory and homotopy theory" – INTAS-03-51-3251.
| | Languages |
Georgian, Russian, English | | Scientific interests |
Bivariant KK-theories, K-theory, cyclic homology, C*-algebra, locally convex algebras, noncommutative geometry, algebraic topology, functional analysis, homological and homotopical algebra. | | Current scientific activities |
To develop KK-theory using methods of algebraic K-theory and spectra.
| | Future work plans |
To investigate K-theory of locally convex algebras and bornological algebras. | | Department |
Theoretical Foundations in Mathematics |