Equivalence Bimodule between Spherical Noncommutative Tori期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Equivalence Bimodule between Spherical Noncommutative Tori

Authors:	Chun?Gil?Park author-information" > author-information__contact u-icon-before" > mailto:cgpark@math.cnu.ac.kr" title=" cgpark@math.cnu.ac.kr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematics, Chungnam National University, Taejon 305-764, South Korea

Abstract:	Let n _i ,m _j > 1. In [5], the sperical noncommutative torus $S_p^{pd}$ was defined by twisting $widehat{T^{r + 2} } times Z^l$ in $T^{pd} otimes Cleft( {Z^l } right)$ by a totally skew multiplier p on $widehat{T^{r + 2} times Z^l }$ for T ^pd a pd-homogeneous C-algebra over $prodnolimits_{i = 1}^{s_4 } {S^{2n_i } } times prodnolimits^{s_2 } {S^2 } times prodnolimits_{j = 1}^{s_3 } {S^{2m_j - 1} } times prodnolimits^{s_1 } {S^1 } times T^{r + 2}$ . It is shown that $S_p^{pd}$ is strongly Morita equivalent to $Cleft( {prodnolimits_{i = 1}^{s_4 } {S^{2n_i } } times prodnolimits^{s_2 } {S^2 } times prodnolimits_{J = 1}^{s_3 } {S^{2m_j - 1} } times prodnolimits^{s^1 } {S^1 } } right) otimes C*left( {widehat{T^{r + 2} } times Z^l ,p} right)$ . This work is supported by Grant No. 1999-2-102-001-3 from the interdisciplinary research program year of the KOSEF

Keywords:	Homogeneous C-algebra Twisted group C-algebra Noncommutative torus Strongly Morita equivalent
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