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A Classification Theorem for Nuclear Purely Infinite Simple C -Algebras 1

- N. Phillips
- Mathematics
- 1 July 1995

Starting from Kirchberg's theorems announced at the operator algebra conference in Gen eve in 1994, namely O2 A = O2 for separable unital nuclear simple A and O1 A = A for separable unital nuclear… Expand

Crossed Products of the Cantor Set by Free Minimal Actions of ℤd

- N. Phillips
- Mathematics
- 11 August 2002

Let d be a positive integer, let X be the Cantor set, and let ℤd act freely and minimally on X. We prove that the crossed product C*(ℤd,X) has stable rank one, real rank zero, and cancellation of… Expand

The tracial Rokhlin property for actions of finite groups on C*-algebras

- N. Phillips
- Mathematics
- 28 September 2006

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 following… Expand

Recursive subhomogeneous algebras

- N. Phillips
- Mathematics
- 18 January 2001

We introduce and characterize a particularly tractable class of unital type 1 C*-algebras with bounded dimension of irreducible representations. Algebras in this class are called recursive… Expand

K-THEORY FOR FRÉCHET ALGEBRAS

- N. Phillips
- Mathematics
- 1 February 1991

We define K-theory for Frechet algebras (assumed to be locally multiplicatively convex) so as to simultaneously generalize K-theory for σ-C*-algebras and K-theory for Banach algebras. The main… Expand

The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)

- S. Echterhoff, W. Lueck, N. Phillips, S. Walters
- Mathematics
- 28 September 2006

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 action of… Expand

Crossed products by finite cyclic group actions with the tracial Rokhlin property

- N. Phillips
- Mathematics
- 28 June 2003

We define the tracial Rokhlin property for actions of finite cyclic groups on stably finite simple unital C*-algebras. We prove that when the algebra is in addition simple and has tracial rank zero,… Expand

Analogs of Cuntz algebras on Lp spaces

- N. Phillips
- Mathematics
- 20 January 2012

For $d = 2, 3, \ldots$ and $p \in [1, \infty),$ we define a class of representations $\rho$ of the Leavitt algebra $L_d$ on spaces of the form $L^p (X, \mu),$ which we call the spatial… Expand

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