Noncommutative geometry and reality

Noncommutative geometry and reality
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DOI:
10.1063/1.531241
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发表时间:
1995-11
影响因子:
1.3
通讯作者:
A. Connes
A. Connes
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
A. Connes

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We introduce the notion of real structure in our spectral geometry. This notion is motivated by Atiyah’s KR‐theory and by Tomita’s involution J. It allows us to remove two unpleasant features of the ‘‘Connes–Lott’’ description of the standard model, namely, the use of bivector potentials and the asymmetry in the Poincare duality and in the unimodularity condition.