We show that a product subsystem of a time ordered system (that is, a product system of time
ordered Fock modules), even one of type I, need not be isomorphic to a time ordered …

Tensor product systems of Hilbert modules and units for them play a crucial role in the
construction of weak Markov flows for CP-semigroup T on a C∗–algebra B. In fact, with each …

Let P be a unital subsemigroup of a group G. We propose an approach to C⁎-algebras
associated to product systems over P. We call the C⁎-algebra of a given product system E …

arXiv:math/0607132v1 [math.OA] 5 Jul 2006 E0–Semigroups for Continuous Product Systems
Page 1 arXiv:math/0607132v1 [math.OA] 5 Jul 2006 E0–Semigroups for Continuous Product …

Let $\mathcal {B} $ be a $\sigma $-unital $ C^* $-algebra. We show that every strongly
continuous $ E_0 $-semigroup on the algebra of adjointable operators on a full Hilbert …

A cosystem consists of a possibly nonselfadoint operator algebra equipped with a coaction
by a discrete group. We introduce the concept of C*-envelope for a cosystem; roughly …

Continuous product systems, or product systems over R+, were recently introduced by
Arveson to develope an index theory for continuous semigroups of∗-endomorphisms of B …

We develop a theory of general quotients for W-and Cu-semigroups beyond the case of
quotients by ideals. To this end, we introduce the notion of a normal pair, which allows us to …

It is shown that if A is a stably finite C∗-algebra and E is a countably generated Hilbert A-
module, then E gives rise to a compact element of the Cuntz semigroup if and only if E is …

Cuntz and Li have defined a C*-algebra associated to any integral domain, using generators
and relations, and proved that it is simple and purely infinite and that it is stably isomorphic …