Titlebook: Noncommutative Dynamics and E-Semigroups; William Arveson Book 2003 Springer Science+Business Media New York 2003 C*-algebra.Hilbert space

DNR215

Noncommutative Dynamics and E-Semigroups978-0-387-21524-2Series ISSN 1439-7382 Series E-ISSN 2196-9922

慢慢冲刷

Irksome

-Semigroupstral objects of study in this book are semigroups of endomorphisms of infinite-dimensional type I factors. While it is usually convenient to coordinatize a type I factor . as the algebra .(.) of all bounded operators on a complex infinite-dimensional Hilbert space ., we will often be led to consider

山崩

品尝你的人

Blood-Clot

Path Spaces, on which there is defined an associative product that represents concatenation of paths. There are many ways a given path space can be endowed with Hilbert space structures, in which a Hilbert space is associated with each interval in (0, ∞), in such a way that the Hilbert spaces corresponding to

Observe

oxidant

竞选运动

-Generators and Dilation Theorysitive linear map . from a .-algebra . to .(.)can be dilated to a representation of .. More precisely, a . of . is a pair (.) consisting of a representation . of . on some other Hilbert space . and a bounded linear map . → . satisfying

Anguish

Index Theory for ,-Semigroupsmigroup is defined in terms of basic structures associated with . that generalize the concrete product systems associated with .-semigroups. However, these stuctures are quite subtle when the individual maps are not multiplicative, and are of independent interest in that they provide new information