A NOTE ON SUBALGEBRAS OF REDUCED C∗-ALGEBRAS ASSOCIATED WITH EQUIVALENCE RELATIONS

Using non-existence results for Cartan subalgebras in certain group vN-algebras [64, 24, 40, 41, 42, 46, 47, 3], we show that certain reduced group C*-algebras have no diagonals,

Show that there exist entire functions of arbitrarily large order giving counterexamples to Bieberbach’s claim p.. Let f be an

- We define the notion of an unbounded derivation of a von Neumann algebra and discuss various necessary and sufficient condi- tions that ensure that the derivation is

power series; but we believe this choice to be inappropriate, for then independent of n, there is a sense in which the resulting algebra is iso- morphic to the

algebra foo of all bounded sequences of complex numbers.. the set of natural numbers. Indeed, assume that.. Let and v be two faithful normal finite traces on a

ANNALES SCIENTIFIQUES DE L'ECOLE NORMALE SUPERIEURE.. Thus, since obviously A/i C A^i,A/2 C M^ have the relative Dixmier property if and only if A/i C A/2 C A^i C A^ has the

The construction of the extended isotopy is done in two stages. The first stage is to reduce the problem to one of moderately local considerations. The second is to solve the

Using the theory of weights (semi-finite positive functionals) F.. As a corollary each lower semi-continuous weight on a C*-algebra is the sum of posi- tive functionals.. We