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Crossed products by Hecke pairs /

The author develops a theory of crossed products by actions of Hecke pairs (G, \Gamma), motivated by applications in non-abelian C^*-duality. His approach gives back the usual crossed product construction whenever G / \Gamma is a group and retains many of the aspects of crossed products by groups. T...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Palma, Rui, 1985- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2018]
Colección:Memoirs of the American Mathematical Society ; no. 1204.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Palma, Rui,  |d 1985-  |e author. 
245 1 0 |a Crossed products by Hecke pairs /  |c Rui Palma. 
264 1 |a Providence, RI :  |b American Mathematical Society,  |c [2018] 
264 4 |c ©2018 
300 |a 1 online resource (vii, 141 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 252, number 1204 
500 |a "March 2018, volume 252, number 1204 (fifth of 6 numbers)." 
500 |a Keywords: Crossed product, Hecke pair, Hecke algebra, C8-dynamical system, Fell bundle, covariant representation. 
504 |a Includes bibliographical references (pages 137-138) and index. 
505 0 0 |g Chapter 1.  |t Preliminaries --  |g Chapter 2.  |t Orbit space groupoids and Fell bundles --  |g Chapter 3.  |t *-Algebraic crossed product by a Hecke pair --  |g Chapter 4.  |t Direct limits of sectional algebras --  |g Chapter 5.  |t Reduced C*-crossed products --  |g Chapter 6.  |t Other completions --  |g Chapter 7.  |t Stone-Von Neumann Theorem For Hecke Pairs --  |g Chapter 8.  |t Towards Katayama duality. 
588 0 |a Print version record. 
520 |6 880-01  |a The author develops a theory of crossed products by actions of Hecke pairs (G, \Gamma), motivated by applications in non-abelian C^*-duality. His approach gives back the usual crossed product construction whenever G / \Gamma is a group and retains many of the aspects of crossed products by groups. The author starts by laying the ^*-algebraic foundations of these crossed products by Hecke pairs and exploring their representation theory and then proceeds to study their different C^*-completions. He establishes that his construction coincides with that of Laca, Larsen and Neshveyev whenever the. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Crossed products. 
650 0 |a Hecke algebras. 
650 0 |a Group algebras. 
650 0 |a Non-Abelian groups. 
650 0 |a C*-algebras. 
650 6 |a Produits croisés. 
650 6 |a Algèbres de Hecke. 
650 6 |a Algèbres de groupes. 
650 6 |a Groupes non abéliens. 
650 6 |a C*-algèbres. 
650 0 7 |a Grupos lineales algebraicos  |2 embucm 
650 7 |a C*-algebras  |2 fast 
650 7 |a Crossed products  |2 fast 
650 7 |a Group algebras  |2 fast 
650 7 |a Hecke algebras  |2 fast 
650 7 |a Non-Abelian groups  |2 fast 
710 2 |a American Mathematical Society,  |e publisher. 
758 |i has work:  |a Crossed products by Hecke pairs (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGgM6BxWP8g4cppQYTXWXd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Palma, Rui, 1985-  |t Crossed products by Hecke pairs  |z 9781470428099  |w (DLC) 2018005048  |w (OCoLC)1016026749 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1204. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5347067  |z Texto completo 
880 3 |6 520-01/(S  |a "We develop a theory of crossed products by actions of Hecke pairs (G, Γ), motivated by applications in non-abelian C∗-duality. Our approach gives back the usual crossed product construction whenever G/Γ is a group and retains many of the aspects of crossed products by groups. We start by laying the ∗-algebraic foundations of these crossed products by Hecke pairs and exploring their representation theory, and then proceed to study their different C∗-completions. We establish that our construction coincides with that of Laca, Larsen and Neshveyev (2007) whenever they are both definable and, as an application of our theory, we prove a Stone-von Neumann theorem for Hecke pairs which encompasses the work of an Huef, Kaliszewski and Raeburn (2008)."--Page v 
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