Akitaka Kishimoto

UHF FLOWS AND COCYCLES

UHF flows are the flows obtained as inductive limits of flows on full matrix algebras. We will revisit universal UHF flows and give an explicit construction of such flows on a UHF algebra Mk∞ for any k and also present a characterization of such flows. Those flows are UHF flows whose cocycle perturbations are almost conjugate to themselves.

The one-cocycle property for shifts

The two-sided shift on the infinite tensor product of copies of the

Central Sequence Algebras of a Purely Infinite Simple C -algebra

ntimes n

MAXIMALITY OF THE ANALYTIC SUBALGEBRAS OF C -ALGEBRAS WITH FLOWS

matrix algebra has the so-called Rohlin property, which entails the one-cocycle property, useful in analyzing cocycle-conjugacy classes. In the case n = 2, the restriction of the shift to the gauge-invariant CAR algebra also has the one-cocycle property. We extend the latter result to an arbitrary

CORE SYMMETRIES OF A FLOW

ngeq 2

Approximately inner derivations

. As a corollary it follows that the flow

Approximate AF flows

alpha

C ∗ -Crossed Products by R, II

on the Cuntz algebra

Multiplier cocycles of a flow on a C*-algebra

mathcal{O}_n=C^*(s_0,s_1,dotsc,s_{n-1})

Type {

defined by