1 citations · 1 across the 10 of their papers we have counts for
11 papers
A note on two-sided ideals in locally C*-algebras
Alexander A. Katz
In the present note we show that if A is a locally C*-algebra, and I and J are closed two-sided ideals in A, then the positive part of (I+J) is equal to the sum of positive parts o…
Non-commutative ergodic Theorems for actions of the hyperbolic groups
Genady Ya. Grabarnik, Alexander A. Katz, Laura Shwartz
The goal of this notice is to establish Not-commutative Point- wise Ergodic Theorems for actions of the Hyperbolic Groups. Similar non-commutative results were done by Bufetov, Khr…
A note on the uniqueness of involution in locally C*-algebras
Alexander A. Katz
In the present note we show that the involution in locally C*-algebras is uniquely determined.
On continuous fiber bundles of C*-algebras over Stonean compact
Alexander A. Katz, Roman Kushnir
We introduce C*-algebras over C_{\infty}(Q,C) as Banach-Kantorovich *-algebras over the algebra C_{\infty}(Q,C) of extended continuous complex-valued functions, defined on comeager…
On the spectral theory of Rickart Ordered *-algebras
Dmitry Sh. Goldstein, Alexander A. Katz, Roman Sklyar
RO*-algebras are defined and studied. For RO*-algebra T, using properties of partial order, it is established that the set of bounded elements can be endowed with C*-norm. The stru…
On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties
Alexander A. Katz
We introduce and study locally AW*-algebras (Baer locally C*-algebras) as a locally multiplicatively-convex generalization of AW*-algebras of Kaplansky. Among other basic propertie…