𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homogeneity of the state space of factors of type III1

✍ Scribed by Alain Connes; Erling Størmer


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
530 KB
Volume
28
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Homogeneity of the Pure State Space of t
✍ Ola Bratteli; Akitaka Kishimoto 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 149 KB

If | 1 , | 2 are two pure gauge-invariant states of the Cuntz algebra O d , we show that there is an automorphism : of O d such that | 1 =| 2 b :. If | is a general pure state on O d and . 0 is a given Cuntz state, we show that there exists an endomorphism : of O d such that . 0 =| b :.

On curvature-homogeneous spaces of type
✍ Oldřich Kowalski; Alena Vanžurová 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB

## Abstract Curvature homogeneous spaces have been studied by many authors. In this paper, we introduce and study a natural modification of this class, namely so‐called curvature homogeneous spaces of type (1,3). We present a class of proper examples in every dimension and we prove a classification

Lipschitz functions on spaces of homogen
✍ Roberto A Macías; Carlos Segovia 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 552 KB

## Lipschitz Functions on Spaces of Homogeneous Type Results on the geometric structure of spaces of homogeneous type are obtained and applied to show the equivalence of certain classes of Lipschitz functions defined on these spaces. ## I. YOTATION AND DEFINITIONS By a quasi-distance on a set X

The Sharp Maximal Function on Spaces of
✍ Qinsheng Lai 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 383 KB

The notion of spaces of a generalized homogeneous type is developed in [2]. In this paper, we introduce the sharp maximal function in this general setting, and establish the equivalence of the L p norms between the sharp maximal function and the Hardy Littlewood maximal function, as well the John Ni

Littlewood–Paley characterizations for H
✍ Yongsheng Han; Detlef Müller; Dachun Yang 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 384 KB

## Abstract Let (𝒳, __d__,__μ__) be a space of homogeneous type in the sense of Coifman and Weiss. Assuming that __μ__ satisfies certain estimates from below and there exists a suitable Calderón reproducing formula in __L__ ^2^(𝒳), the authors establish a Lusin‐area characterization for the atomic