A NONCOMMUTATIVE BORSUK-ULAM THEOREM FOR NATSUME-OLSEN SPHERES

被引：5
|
作者：
Passer, Benjamin W. [1 ]
机构：
[1] Washington Univ, Dept Math, St Louis, MO 63130 USA
来源：
JOURNAL OF OPERATOR THEORY | 2016年 / 75卷 / 02期
基金：
美国国家科学基金会;
关键词：
C*-algebra; noncommutative; sphere; Borsuk-Ulam; K-theory; group action; deformation; FINITE; MANIFOLDS;
D O I：
10.7900/jot.2015apr21.2071
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The odd theta-deformed spheres are C*-algebras that admit natural actions by finite cyclic groups, and if one of these actions is fixed, any equivariant homomorphism between two spheres of the same dimension induces a nontrivial map on odd K-theory. This result is an extended, noncommutative Borsuk-Ulam theorem in odd dimension, and just as in the topological case, this theorem has many ( almost) equivalent formulations for theta-deformed spheres of arbitrary dimension. We also present theorems on graded Banach algebras, motivated by algebraic Borsuk-Ulam results of A. Taghavi.
引用
收藏
页码：337 / 366
页数：30
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