An Introduction to C*-Algebras and Noncommutative Geometry

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric picture of K-theory and its relation to the C*-algebraic picture. The text can be used as the basis for a...

Бүрэн тодорхойлолт

-д хадгалсан:
Номзүйн дэлгэрэнгүй
Үндсэн зохиолч: Emerson, Heath (Зохиогч)
Байгууллагын зохиогч: SpringerLink (Online service)
Формат: Цахим Цахим ном
Хэл сонгох:англи
Хэвлэсэн: Cham : Springer International Publishing : Imprint: Birkhäuser, 2024.
Хэвлэл:1st ed. 2024.
Цуврал:Birkhäuser Advanced Texts Basler Lehrbücher,
Нөхцлүүд:
Онлайн хандалт:https://doi.org/10.1007/978-3-031-59850-0
Шошгууд: Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
Агуулга:
  • An introduction to C*-algebras
  • An Introduction to Index Theory and Noncommutative Geometry
  • Spectral Theory and Representation
  • Positivity, Representations, Tensor Products and Ideals in C*-algebras
  • Module theory of C*-algebras
  • Morita Equivalence
  • Topological K-theory and Clifford Algebras
  • K-theory for C*algebras
  • The Index Theorem of Atiyah and Singer
  • K-homology and Noncommutative Geometry
  • An Introduction to KK-theory
  • Bibliography.