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.
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页码：605 / 624
页数：20
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