NONCOMMUTATIVE SPHERES .3. IRRATIONAL ROTATIONS

被引：45

作者：

BRATTELI, O

KISHIMOTO, A

机构：

[1] UNIV TRONDHEIM,INST MATH,N-7034 TRONDHEIM,NORWAY

[2] HOKKAIDO UNIV,DEPT MATH,SAPPORO,HOKKAIDO 060,JAPAN

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 147卷 / 03期

关键词：

D O I：

10.1007/BF02097244

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let A(theta) be the irrational rotation algebra, i. e. the C*-algebra generated by two unitaries U, V satisfying VU = e2-pi-i-theta UV, with theta-irrational, and consider the fixed point subalgebra B(theta) under the flip automorphism U --> U-1, V --> V-1. We prove that B(theta) is an AF-algebra.

引用

页码：605 / 624

页数：20

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