We introduce two new algebraic formulations for the notion of 'quantum metric on noncommutative space'. For a compact noncommutative space associated to a unital C*-algebra, our quantum metrics are elements of the spatial tensor product of the C*-algebra with itself. We consider some basic properties of these new objects, and state some connections with the Rieffel theory of compact quantum metric spaces.
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2018 |
Gönderilme Tarihi | 3 Mart 2018 |
Kabul Tarihi | 15 Mart 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 1 Sayı: 1 |