PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 51(3) 567-603 2015年9月 [査読有り]
We attempt presenting a notion of the Haagerup approximation property for an arbitrary von Neumann algebra by using its standard form. We also prove the expected heredity results for this property.
The notion of the Haagerup approximation property, originally introduced for von Neumann algebras equipped with a faithful normal tracial state, is generalised to arbitrary von Neumann algebras. We discuss two equivalent characterisations, one in ...
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 138(10) 3609-3621 2010年10月 [査読有り]
Voiculescu's topological approximation entropy is extended to automorphisms on unital simple C*-algebras with tracial rank zero. Several expected properties are shown. We also consider the value of our entropy for a cat map on the non-commuta...
INTERNATIONAL JOURNAL OF MATHEMATICS 21(4) 537-550 2010年4月 [査読有り]
For finite dimensional abelian subalgebras of a finite von Neumann algebra, we obtain the value of conditional relative entropy defined by Choda. We also consider the modified invariant defined by Pimsner and Popa.
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