Buy Partial Dynamical Systems, Fell Bundles and Applications
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Partial Dynamical Systems, Fell Bundles and Applications: (Mathematical Surveys and Monographs)
Partial Dynamical Systems, Fell Bundles and Applications: (Mathematical Surveys and Monographs)

Partial Dynamical Systems, Fell Bundles and Applications: (Mathematical Surveys and Monographs)


     0     
5
4
3
2
1



Available


X
About the Book

Partial dynamical systems, originally developed as a tool to study algebras of operators in Hilbert spaces, has recently become an important branch of algebra. Its most powerful results allow for understanding structural properties of algebras, both in the purely algebraic and in the C*-contexts, in terms of the dynamical properties of certain systems which are often hiding behind algebraic structures. The first indication that the study of an algebra using partial dynamical systems may be helpful is the presence of a grading. While the usual theory of graded algebras often requires gradings to be saturated, the theory of partial dynamical systems is especially well suited to treat nonsaturated graded algebras which are in fact the source of the notion of ""partiality''. One of the main results of the book states that every graded algebra satisfying suitable conditions may be reconstructed from a partial dynamical system via a process called the partial crossed product.

Running in parallel with partial dynamical systems, partial representations of groups are also presented and studied in depth.

In addition to presenting main theoretical results, several specific examples are analyzed, including Wiener-Hopf algebras and graph C*-algebras.

Table of Contents:

  • Introduction
  • Partial actions: Partial actions
  • Restriction and globalization
  • Inverse semigroups
  • Topological partial dynamical sysytems
  • Algebraic partial dynamical systems
  • Multipliers
  • Crossed products
  • Partial group representations
  • Partial group algebras
  • C*-algebraic partial dynamical systems
  • Partial isometries
  • Covariant representations of C*-algebraic dynamical systems
  • Partial representations subject to relations
  • Hilbert modules and Morita-Rieffel-equivalence
  • Fell bundles: Fell bundles
  • Reduced cross-sectional algebras
  • Fell's absorption principle
  • Graded C*-algebras
  • Amenability for Fell bundles
  • Functoriality for Fell bundles
  • Functoriality for partial actions
  • Ideals in graded algebras
  • Pre-Fell-bundles
  • Tensor products of Fell bundles
  • Smash product
  • Stable Fell bundles as partial crossed products
  • Globalization in the C*-context
  • Topologically free partial actions
  • Applications: Dilating partial representations
  • Semigroups of isometries
  • Quasi-lattice ordered groups
  • C*-algebras generated by semigroups of isometries
  • Wiener-Hopf C*-algebras
  • The Toeplitz C*-algebra of a graph
  • Path spaces
  • Graph C*-algebras
  • Bibliography
  • Index.


    About the Author :
    Ruy Exel, Universidade Federal de Santa Catarina, Florianopolis-SC, Brazil.


    Best Sellers


    Product Details
    • ISBN-13: 9781470437855
    • Publisher: American Mathematical Society
    • Publisher Imprint: American Mathematical Society
    • Height: 254 mm
    • No of Pages: 321
    • Weight: 720 gr
    • ISBN-10: 1470437856
    • Publisher Date: 30 Oct 2017
    • Binding: Hardback
    • Language: English
    • Series Title: Mathematical Surveys and Monographs
    • Width: 178 mm


    Similar Products

    Add Photo
    Add Photo

    Customer Reviews

    REVIEWS      0     
    Click Here To Be The First to Review this Product
    Partial Dynamical Systems, Fell Bundles and Applications: (Mathematical Surveys and Monographs)
    American Mathematical Society -
    Partial Dynamical Systems, Fell Bundles and Applications: (Mathematical Surveys and Monographs)
    Writing guidlines
    We want to publish your review, so please:
    • keep your review on the product. Review's that defame author's character will be rejected.
    • Keep your review focused on the product.
    • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
    • Refrain from mentioning competitors or the specific price you paid for the product.
    • Do not include any personally identifiable information, such as full names.

    Partial Dynamical Systems, Fell Bundles and Applications: (Mathematical Surveys and Monographs)

    Required fields are marked with *

    Review Title*
    Review
      Add Photo Add up to 6 photos
      Would you recommend this product to a friend?
      Tag this Book Read more
      Does your review contain spoilers?
      What type of reader best describes you?
      I agree to the terms & conditions
      You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

      CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

      These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


      By submitting any content to Bookswagon, you guarantee that:
      • You are the sole author and owner of the intellectual property rights in the content;
      • All "moral rights" that you may have in such content have been voluntarily waived by you;
      • All content that you post is accurate;
      • You are at least 13 years old;
      • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
      You further agree that you may not submit any content:
      • That is known by you to be false, inaccurate or misleading;
      • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
      • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
      • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
      • For which you were compensated or granted any consideration by any unapproved third party;
      • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
      • That contains any computer viruses, worms or other potentially damaging computer programs or files.
      You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


      For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


      All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

      Accept


      Inspired by your browsing history


      Your review has been submitted!

      You've already reviewed this product!