How Long to Read Categories of Operator Modules (Morita Equivalence and Projective Modules)

How Long Does it Take to Read Categories of Operator Modules (Morita Equivalence and Projective Modules)?

It takes the average reader 1 hour and 52 minutes to read Categories of Operator Modules (Morita Equivalence and Projective Modules) by David P. Blecher

Assuming a reading speed of 250 words per minute. Learn more

Description

We employ recent advances in the theory of operator spaces, also known as quantized functional analysis, to provide a context in which one can compare categories of modules over operator algebras that are not necessarily self-adjoint. We focus our attention on the category of Hilbert modules over an operator algebra and on the category of operator modules over an operator algebra. The module operations are assumed to be completely bounded - usually, completely contractive. Wedevelop the notion of a Morita context between two operator algebras A and B. This is a system (A,B,{} {A}X {B},{} {B} Y {A},(\cdot,\cdot),[\cdot,\cdot]) consisting of the algebras, two bimodules {A}X {B and {B}Y {A} and pairings (\cdot,\cdot) and [\cdot,\cdot] that induce (complete) isomorphisms betweenthe (balanced) Haagerup tensor products, X \otimes {hB} {} Y and Y \otimes {hA} {} X, and the algebras, A and B, respectively. Thus, formally, a Morita context is the same as that which appears in pure ring theory. The subtleties of the theory lie in the interplay between the pure algebra and the operator space geometry. Our analysis leads to viable notions of projective operator modules and dual operator modules. We show that two C*-algebras are Morita equivalent in our sense if and only ifthey are C*-algebraically strong Morita equivalent, and moreover the equivalence bimodules are the same. The distinctive features of the non-self-adjoint theory are illuminated through a number of examples drawn from complex analysis and the theory of incidence algebras over topological partial orders.Finally, an appendix provides links to the literature that developed since this Memoir was accepted for publication.

How long is Categories of Operator Modules (Morita Equivalence and Projective Modules)?

Categories of Operator Modules (Morita Equivalence and Projective Modules) by David P. Blecher is 109 pages long, and a total of 28,231 words.

This makes it 37% the length of the average book. It also has 35% more words than the average book.

How Long Does it Take to Read Categories of Operator Modules (Morita Equivalence and Projective Modules) Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 34 minutes to read Categories of Operator Modules (Morita Equivalence and Projective Modules) aloud.

What Reading Level is Categories of Operator Modules (Morita Equivalence and Projective Modules)?

Categories of Operator Modules (Morita Equivalence and Projective Modules) is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Categories of Operator Modules (Morita Equivalence and Projective Modules)?

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