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- A A Pavlov, E V Troitsky
- 2006

This paper deals with a " naive " way of generalization of the Kazhdan's property (T) to C *-algebras. This approach differs from the approach of Connes and Jones, which has already demonstrated its utility. Nevertheless it turned out that our approach is applicable to the following rather subtle question in the theory of C *-Hilbert modules. We prove that… (More)

- M Frank, A A Pavlov
- 2008

In the present paper we develop both ideas of [1] and the categorical approach to multipliers from [9, 13, 14] for the introduction and study of left multipliers of Hilbert C *-modules. Some properties and, in particular, the property of maximal-ity among all strictly essential extensions of a Hilbert C *-module for left multipliers are proved. Also… (More)

- A A Pavlov
- 2000

We define N-theory being some analogue of K-theory on the category of von Neumann algebras such that K 0 (A) ⊂ N 0 (A) for any von Neumann algebra A. Moreover, it turns out to be possible to construct the extension of the Chern character to some homomorphism from N 0 (A) to even Banach cyclic homology of A. Also, we define generalized Lefschetz numbers for… (More)

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