"We will study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. We will construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classificat…
Cover -- Title page -- Introduction -- Chapter 1. Preliminary -- 1.1. Notation and terminology -- 1.2. Canonical extensions -- 1.3. Modular endomorphisms -- 1.4. Ultraproduct von Neumann algebras -- Chapter 2. Canonical extension of irreducible endomorphisms -- 2.1. Decompositio…
"We will study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. We will construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classificat…