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Leavitt Path Algebras, $B_{\infty}$-Algebras and Keller’s Conjecture for Singular Hochschild Cohomology
| Softcover ISBN: | 978-1-4704-7616-8 |
| Product Code: | MEMO/313/1586 |
| List Price: | $85.00 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8453-8 |
| Product Code: | MEMO/313/1586.E |
| List Price: | $85.00 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7616-8 |
| eBook: ISBN: | 978-1-4704-8453-8 |
| Product Code: | MEMO/313/1586.B |
| List Price: | $170.00 $127.50 |
| AMS Member Price: | $136.00 $102.00 |
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Leavitt Path Algebras, $B_{\infty}$-Algebras and Keller’s Conjecture for Singular Hochschild Cohomology
| Softcover ISBN: | 978-1-4704-7616-8 |
| Product Code: | MEMO/313/1586 |
| List Price: | $85.00 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8453-8 |
| Product Code: | MEMO/313/1586.E |
| List Price: | $85.00 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7616-8 |
| eBook ISBN: | 978-1-4704-8453-8 |
| Product Code: | MEMO/313/1586.B |
| List Price: | $170.00 $127.50 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 313; 2025; 116 ppMSC: Primary 16; 13; 55
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Table of Contents
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Chapters
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1. Introduction
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2. DG categories and dg quotients
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3. The dg singularity category and acyclic complexes
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4. Quivers and Leavitt path algebras
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5. An introduction to $B_\infty $-algebras
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6. The Hochschild cochain complexes
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7. A homotopy deformation retract and the homotopy transfer theorem
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8. The singular Hochschild cochain complexes
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9. $B_\infty $-quasi-isomorphisms induced by one-point (co)extensions and bimodules
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10. Algebras with radical square zero and the combinatorial $B_\infty $-algebra
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11. The Leavitt $B_{\infty }$-algebra as an intermediate object
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12. An $A_\infty $-quasi-isomorphism for the Leavitt path algebra
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13. Verifying the $B_\infty $-morphism
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14. Keller’s conjecture and the main results
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 313; 2025; 116 pp
MSC: Primary 16; 13; 55
-
Chapters
-
1. Introduction
-
2. DG categories and dg quotients
-
3. The dg singularity category and acyclic complexes
-
4. Quivers and Leavitt path algebras
-
5. An introduction to $B_\infty $-algebras
-
6. The Hochschild cochain complexes
-
7. A homotopy deformation retract and the homotopy transfer theorem
-
8. The singular Hochschild cochain complexes
-
9. $B_\infty $-quasi-isomorphisms induced by one-point (co)extensions and bimodules
-
10. Algebras with radical square zero and the combinatorial $B_\infty $-algebra
-
11. The Leavitt $B_{\infty }$-algebra as an intermediate object
-
12. An $A_\infty $-quasi-isomorphism for the Leavitt path algebra
-
13. Verifying the $B_\infty $-morphism
-
14. Keller’s conjecture and the main results
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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