Main Publications of Vladimir Manuilov

(in inverse chronological order)

V.M.Manuilov. A finite-dimensional version of Fredholm representations. Russian J. Math. Phys. 23 (2016), 219-224. LaTeX file
V.M.Manuilov, You Chao. Vector bundles from generalized pairs of cocycles. Internat. J. Math. 25 (2014), No.1450061. LaTeX file
V.M.Manuilov, Zhu Jingming. Extensions of Hilbert C*-Modules: Classification in Simple Cases. Russian J. Math. Phys. 19 (2012), 197202. LaTeX file
V.M.Manuilov, Zhu Jingming. C*-reflexivity doesn't pass to quotients. Banach J. Math. Anal. 5 (2011), 122125. LaTeX file
V.M.Manuilov, K.Thomsen. Shape theory and extensions of C*-algebras. J. London Math. Soc. 84 (2011), 183203. LaTeX file
V.M.Manuilov, K.Thomsen. Semi-invertible extensions of C*-algebras. J. Funct. Anal. 260 (2011), 1446-1462. LaTeX file
V.M.Manuilov, You Chao. On C*-algebras related to constrained representations of a free group. Russian J. Math. Physics 17 (2010), 280-287. LaTeX file
M.Frank, V.M.Manuilov, E.V.Troitsky. A reflexivity criterion for Hilbert C*-modules over commutative C*-algebras. New York J. Math. 16 (2010), 399-408. LaTeX file
M.Frank, V.M.Manuilov, E.V.Troitsky. Hilbert C*-modules from group actions: beyond the finite orbits case. Studia Math. 200 (2010), 131--148. LaTeX file
V.M.Manuilov. One more pathology of $C^*$-algebraic tensor products. J. Funct. Anal. 257 (2009), 3647-3654. LaTeX file
V.M.Manuilov, K.Thomsen. Relative K-homology and normal operators. J. Operator Theory 62 (2009), 249-279. LaTeX file
V.M.Manuilov. Asymptotic representations of the reduced group C*-algebra of a free group: an example. Bull. London Math. Soc. 80 (2008), 838-844. LaTeX file
V.M.Manuilov, You Chao. On almost representations of property T groups. Mat. Zametki 84 (2008), 219-230. LaTeX file
V.M.Manuilov. On equivalence of two approaches in index theory. J. K-Theory 2 (2008), 445-452. LaTeX file
V.M.Manuilov. On homotopical non-invertibility of C*-extensions. "Operator Algebras, Operator Theory and Applications" Birkhauser, 2008, pp. 295-308. LaTeX file
V.M.Manuilov, K.Thomsen. On the lack of inverses for C*-extensions related to property T groups. Canad. Math. Bull. 50 (2007), 268-283. LaTeX file
V.M.Manuilov, K.Thomsen. Extensions of C*-algebras and translation invariant asymptotic homomorphisms. Math. Scand. 100 (2007), 131-160. LaTeX file
V.M.Manuilov. Translation invariant asymptotic homomorphisms: equivalence of two approaches in index theory. J. Operator Theory 55 (2006), 339-347. LaTeX file
V.M.Manuilov, S.Silvestrov. An invariant for unbounded operators. Proc. Amer. Math. Soc. 134 (2006), 2593-2598. LaTeX file
V.M.Manuilov, K.Thomsen. On the asymptotic tensor C*-norm. Arch. Math. 86 (2006), 138-144. LaTeX file
V.M.Manuilov, K.Thomsen. On the group of semi-invertible extensions. K-Theory 32 (2004), 101-138. LaTeX file
V.M.Manuilov, K.Thomsen. E-theory is a special case of KK-theory. Proc. London Math. Soc. 88 (2004), 455-478. LaTeX file
V.M.Manuilov, K.Thomsen. The Connes-Higson construction is an isomorphism. J. Funct. Anal. 213 (2004), 154-175. LaTeX file
V.M.Manuilov. Asymptotic homomorphisms into the Calkin algebras. J. Reine Angew. Math. 557 (2003), 159-172. LaTeX file
V.M.Manuilov, K.Thomsen. Asymptotic homomorphisms of C*-algebras and C*-extensions. Functional Analysis VII. Various Publ. Series, Aarhus Univ. 46, 2002, 143-150. LaTeX file
V.M.Manuilov, A.S.Mishchenko. Almost, asymptotic and Fredholm representations of discrete groups. Acta Appl. Math. 68 (2001), No 1/3, 159-210. LaTeX file
V.M.Manuilov. An example of a non-complemented Hilbert W*-module. Vestn. Mosc. Univ. Ser. I Math. Mech (2000) No 5, 59-60. LaTeX file
V.M.Manuilov. On C*-algebras related to asymptotic homomorphisms. Mat. Zametki 68 (2000), 377-384. LaTeX file
V.M.Manuilov, K.Thomsen. Asymptotically split extensions and E-theory. Algebra i Analiz 12 (2000), No 5, 142-157. LaTeX file
V.M.Manuilov, K.Thomsen. Quasidiagonal extensions and sequentially trivial asymptotic homomorphisms. Adv. Math. 154 (2000), 258-279. LaTeX file
V.M.Manuilov, E.V.Troitsky. Hilbert C*- and W*-modules and their morphisms. J. Math. Sci. (New York) 98 (2000) No 2, 137-201.
V.M.Manuilov. Diagonalizing operators in Hilbert modules over C*-algebras. J. Math. Sci. (New York) 98 (2000) No 2, 202-244.
V.M.Manuilov. Asymptotic representations of groups $\pi\times{\bf Z}$. Trudy Mat. Inst. Steklov. 225 (1999) 243-249. LaTeX file
V.M.Manuilov. Almost representations and asymptotic representations of discrete groups. Izv. Ross. Akad. Nauk Ser. Mat. 63 (1999) No 5, 159-178. LaTeX file
V.M.Manuilov. Almost commutativity implies asymptotic commutativity. Operator Theoretical Methods (Proc. of the XVII-th Timisoara conference on Operator Theory), Theta, 2000, 256-268. LaTeX file
V.M.Manuilov, A.S.Mishchenko. Asymptotic and Fredholm representations of discrete groups. Mat. Sb., 189 (1998) No 10, 53-72. LaTeX file
V.M.Manuilov. An invariant for pairs of almost commuting unbounded operators. Funktsional. Anal. i Prilozhen., 32 (1998) No 4, 88-91. LaTeX file
M.Frank, V.M.Manuilov, E.V.Troitsky. On conditional expectations arising from group actions. Zeitschr. Anal. Anwendungen, 16 (1997), 831-850. Dvi file
V.M.Manuilov. On almost commuting operators. Funktsional. Anal. i Prilozhen., 31 (1997), No 3, 80-82. LaTeX file
V.M.Manuilov. Diagonalizing operators over continuous fields of C*-algebras. Mat. Sb., 188 (1997), No 6, 99-118. LaTeX file
V.M.Manuilov. Spectrally stable relations. Usp. Mat. Nauk., 52 (1997), No 2, 175-176. LaTeX file
V.M.Manuilov. Adjointability of operators on Hilbert C*-modules. Acta Math. Univ. Comenian., 65 (1996) 161-169. LaTeX file
V.M.Manuilov. Local minima of commutator norms in finite factors. Vestn. Mosc. Univ. Ser. 1. Math., Mech., (1997) No 3, 28-31. LaTeX file
V.M.Manuilov. Representability of functionals on Hilbert C*-modules. Funktsional. Anal. i Prilozhen., 30 (1996) No 4, 83-86.
V.M.Manuilov. Diagonalization of compact operators in Hilbert modules over C*-algebras of real rank zero. Mat. Zametki, 62 (1997), 865-870. LaTeX file
V.M.Manuilov. Diagonalization of compact operators in Hilbert modules over finite W*-algebras. Annals of Global Anal. and Geom. 13 (1995) 207-226. LaTeX file
M.Frank, V.M.Manuilov. Diagonalizing "compact" operators on Hilbert W*-modules. Zeitschr. Anal. Anwendungen. 14 (1995) 33-41. PlainTeX file,
V.M.Manuilov. Diagonalization of compact operators in Hilbert modules over W*-algebras of finite type. Usp. Mat. Nauk. 49 (1994) No 2, 159-160 (in Russian), English translation: Sov. Math. Surv. 49 (1994), No 2, 166-167.
V.M.Manuilov. On eigenvalues of perturbed Schrodinger operator in magnetic field with irrational magnetic flow. Func. Anal. i Pril. 28 (1994) No 2, 57-60 (in Russian), English translation: Funct. Anal. Appl. 28 (1994), 120-122.
V.M.Manuilov. On K_0-group of continuous family of algebras A_\theta. Usp. Mat. Nauk. 44 (1989) No 3, 163-164 (in Russian), English translation: Sov. Math. Surv. 44 (1989) No 3, 206-207.
V.M.Manuilov. Natural homomorphisms in homology theories. Vestn. Mosc. Univ. Ser. 1. Math., Mekh. (1988) No 1, 89-91 (in Russian), English translation: Moscow Univ. Math. Bull. 43 (1988) No 1, 81-83.
V.M.Manuilov. K-homology of C*-algebras. Matem. Sb. (N.S.) 131 (1986) No 4, 536-543 (in Russian), English translation: Math. USSR - Sb. 59 (1986) No 2, 533-540.
V.M.Manuilov. Algebraic duality between homology and cohomology. Usp. Mat. Nauk. 41 (1986) No 3, 165-166 (in Russian), English translation: Sov. Math. Surv. 41 (1986) No 3, 221-222.

My co-authors

Klaus Thomsen

Alexander S. Mishchenko

Evgenij Troitsky

Michael Frank

Sergei Silvestrov

You Chao

Zhu Jingming

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