Reduced free products of completely positive maps and entropy for free product of automorphisms

被引:12
|
作者
Choda, M [1 ]
机构
[1] OSAKA KYOIKU UNIV,DEPT MATH,KASHIHARA,NARA 582,JAPAN
关键词
D O I
10.2977/prims/1195162968
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The reduced free product of unital completely positive maps is defined. An invariant state on a C*-algebra for an automorphism (based on the free shift) is the composition of a state of a subalgebra with the reduced free product of expectations. Entropies for the reduced free product and the tensor product of an automorphism gamma with the free shift coincide with the entropy of gamma.
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页码:371 / 382
页数:12
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