On type $I$ $C\sp{\ast} $-algebras

On Type I C-algebras

Lie-type higher derivations on operator algebras

 Motivated by the intensive and powerful works concerning additive‎ ‎mappings of operator algebras‎, ‎we mainly study Lie-type higher‎ ‎derivations on operator algebras in the current work‎. ‎It is shown‎ ‎that every Lie (triple-)higher derivation on some classical operator‎ ‎algebras is of standard form‎. ‎The definition of Lie $n$-higher‎ ‎derivations on operator algebras and related pot...

Characterizing Type I C-algebras via Entropy

Let A be a separable unital C-algebra. It is shown that A is type I if and only if the CNT-entropy of every inner automorphism of A is zero.

Graded Radical W Type Lie Algebras I

Structure of derivations on various algebras of measurable operators for type I von Neumann algebras

Given a von Neumann algebra M denote by S(M) and LS(M) respectively the algebras of all measurable and locally measurable operators affiliated with M. For a faithful normal semi-finite trace τ on M let S(M, τ) (resp. S0(M, τ)) be the algebra of all τ -measurable (resp. τ -compact) operators from S(M). We give a complete description of all derivations on the above algebras of operators in the ca...