This volume attempts to give a comprehensive discussion of the theory of operator algebras
(C*-algebras and von Neumann algebras.) The volume is intended to serve two purposes: to …

It is more-or-less well-known [20] that the representation theories of A and B are equivalent
(when B is full), as follows: to any Hermitian A-module V (the Hilbert space for a non …

Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to
a simple condition on the corresponding equivariant K-theory. This fact can be regarded as …

Abstract Let F⊆ SL2 (ℤ) be a finite subgroup (necessarily isomorphic to one of ℤ2, ℤ3, ℤ4,
or ℤ6), and let F act on the irrational rotational algebra Aθ via the restriction of the canonical …

We define``tracial''analogs of the Rokhlin property for actions of finite groups, approximate
representability of actions of finite abelian groups, and approximate innerness. We prove the …

Let A be a unital, strongly amenable ${C^\ast} $-algebra, $\sigma: A\to pAp $ a $^\ast $-
isomorphism (where p is a proper projection of A), and S an isometry such that $ Sx …

Let A be a C*-algebra, and let G be a locally compact group acting as automorphisms of A
via the homomorphism α of G into Aut (A). Then there are two algebras commonly …

Stable and real rank for crossed products by automorphisms with the tracial Rokhlin property
Page 1 Ergod. Th. & Dynam. Sys. (2006), 26, 1579–1621 c 2006 Cambridge University Press …

Crossed products by compact group actions with the Rokhlin property Page 1 J. Noncommut.
Geom. 11 (2017), 1593–1626 DOI 10.4171/JNCG/11-4-11 Journal of Noncommutative Geometry …

A λ-graph system is a labeled Bratteli diagram with an upward shift except the top vertices.
We construct a continuous graph in the sense of V. Deaconu from a λ-graph system. It yields …