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Two classes of τ-measurable operators affiliated with a von Neumann algebra© 2017, Allerton Press, Inc.Let M be a von Neumann algebra of operators on a Hilbert space H, τ

Commutativity of projections and characterization of traces on Von Neumann algebras of operator inequalities. We apply these inequalities to characterize a trace on von Neumann algebras

Von Neumann J-algebras in a space with two symmetriesWe show that a von Neumann J-algebra A of type (B) does not contain J-positive (J

ElGamal cryptosystems on Boolean functions on the base of bijective systems of Boolean functions. The description is illustrated with a simple example

Concerning the theory of τ-measurable operators affiliated to a semifinite von Neumann algebra© 2015, Pleiades Publishing, Ltd. Let M be a von Neumann algebra of operators in a Hilbert space H

Differences of idempotents in C*-algebras = Q* and I is the identity operator in H. If U = P − Q is an isometry then U = U* is unitary and Q = I

On Bol algebras than or equal to 6. In the paper, only Bol algebras of dimension 3, with the trilinear operation

Minimality of convergence in measure topologies on finite von Neumann algebras into the *-algebra of measurable operators M̃ endowed with the topology of convergence in measure is continuous

Characterization of Tracial Functionals on Von Neumann Algebras among all positive normal functionals ϕ on a von Neumann algebra A. This strengthens the L. T. Gardner’s

Commutation of projections and trace characterization on von Neumann algebras. IIWe obtain new necessary and sufficient commutation conditions for projections in terms of operator

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