Heisenberg modules over real multiplication noncommutative tori and related algebraic structures

J.A. Plazas Vargas

doi:10.1017/CBO9780511712135.014

Heisenberg modules over real multiplication noncommutative tori and related algebraic structures

J.A. Plazas Vargas

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

Abstract

I review some aspects of the theory of noncommutative two-tori with real multiplication, focusing on the role played by Heisenberg groups in the definition of algebraic structures associated to these noncommutative spaces.

Original language	English
Title of host publication	Geometric and topological methods for quantum field theory
Editors	Hernán Ocampo, Eddy Pariguán, Sylvie Paycha
Place of Publication	New York
Publisher	Cambridge University Press
Chapter	13
Pages	405-420
Number of pages	16
ISBN (Print)	978-0-521-76482-7
DOIs	https://doi.org/10.1017/CBO9780511712135.014
Publication status	Published - 2010

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title = "Heisenberg modules over real multiplication noncommutative tori and related algebraic structures",

abstract = "I review some aspects of the theory of noncommutative two-tori with real multiplication, focusing on the role played by Heisenberg groups in the definition of algebraic structures associated to these noncommutative spaces.",

author = "\{Plazas Vargas\}, J.A.",

year = "2010",

doi = "10.1017/CBO9780511712135.014",

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publisher = "Cambridge University Press",

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Heisenberg modules over real multiplication noncommutative tori and related algebraic structures. / Plazas Vargas, J.A.
Geometric and topological methods for quantum field theory. ed. / Hernán Ocampo; Eddy Pariguán; Sylvie Paycha. New York: Cambridge University Press, 2010. p. 405-420.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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AU - Plazas Vargas, J.A.

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DO - 10.1017/CBO9780511712135.014

M3 - Chapter

SN - 978-0-521-76482-7

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EP - 420

BT - Geometric and topological methods for quantum field theory

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A2 - Paycha, Sylvie

PB - Cambridge University Press

CY - New York

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Heisenberg modules over real multiplication noncommutative tori and related algebraic structures

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